The symmetric eigenvalue problem

Authors:
Beresford N. Parlett
Affiliations:
Univ. of California at Berkeley, Berkeley
Venue:
The symmetric eigenvalue problem
Year:
1998

Citing 0
Cited 217

Solution of large, dense symmetric generalized eigenvalue problems using secondary storage

ACM Transactions on Mathematical Software (TOMS)
Algorithm 686: FORTRAN subroutines for updating the QR decomposition

ACM Transactions on Mathematical Software (TOMS)
Parallel complexity of tridiagonal symmetric Eigenvalue problem

SODA '91 Proceedings of the second annual ACM-SIAM symposium on Discrete algorithms
Stability of block algorithms with fast level-3 BLAS

ACM Transactions on Mathematical Software (TOMS)
Reducing synchronization on the parallel Davidson method for the large sparse, eigenvalue problem

Proceedings of the 1993 ACM/IEEE conference on Supercomputing
A spectral algorithm for envelope reduction of sparse matrices

Proceedings of the 1993 ACM/IEEE conference on Supercomputing
Algorithm 646: PDFIND: a routine to find a positive definite linear combination of two real symmetric matrices

ACM Transactions on Mathematical Software (TOMS)
PMRSB: parallel multilevel recursive spectral bisection

Supercomputing '95 Proceedings of the 1995 ACM/IEEE conference on Supercomputing
Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm

Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
Numerical Experiences with New Truncated Newton Methodsin Large Scale Unconstrained Optimization

Computational Optimization and Applications
A Hypergraph Framework for Optimal Model-Based Decomposition ofDesign Problems

Computational Optimization and Applications
Development of a mathematical subroutine library for Fujitsu vector parallel processors

ICS '98 Proceedings of the 12th international conference on Supercomputing
Model reduction of time-varying linear systems using approximate multipoint Krylov-subspace projectors

Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
The complexity of the matrix eigenproblem

STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Approximate polynomial Gcds, Padé approximation, polynomial zeros and bipartite graphs

Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
On the parallel solution of parabolic equations

ICS '89 Proceedings of the 3rd international conference on Supercomputing
Exact computations of the inertia symmetric integer matrices

STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
A Practical Sequential Method for Principal Component Analysis

Neural Processing Letters
Parallel methods and tools for predicting material properties

Computing in Science and Engineering
Information retrieval on the web

ACM Computing Surveys (CSUR)
An observation on bisection software for the symmetric tridiagonal eigenvalue problem

ACM Transactions on Mathematical Software (TOMS)
A spectral method to separate disconnected and nearly-disconnected web graph components

Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining
Symbolic and numeric methods for exploiting structure in constructing resultant matrices

Journal of Symbolic Computation
A new Lanczos method for electronic structure calculations

SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing
Application of the difference Gaussian rules to solution of hyperbolic problems: global expansion

Journal of Computational Physics
A Note on the Calculation of Step-Lengths in Interior-Point Methods for Semidefinite Programming

Computational Optimization and Applications
Using Accurate Arithmetics to Improve Numerical Reproducibility and Stability in Parallel Applications

The Journal of Supercomputing
The QR Algorithm

Computing in Science and Engineering
The Decompositional Approach to Matrix Computation

Computing in Science and Engineering
SLIDE: Subspace-Based Line Detection

IEEE Transactions on Pattern Analysis and Machine Intelligence
The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices

Applied Numerical Mathematics
Convergence of the unitary QR algorithm with a unimodular Wilkinson shift

Mathematics of Computation
A Grid Computing Environment for Enabling Large Scale Quantum Mechanical Simulations

GRID '00 Proceedings of the First IEEE/ACM International Workshop on Grid Computing
Analysis of the Lanczos Error Bounds and Its Application to the Explicitly Restarted Lanczos Algorithm

PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers
A Multi-color Inverse Iteration for a High Performance Real Symmetric Eigensolver (Research Note)

Euro-Par '00 Proceedings from the 6th International Euro-Par Conference on Parallel Processing
A Queueing Model with Varying Service Rate for ABR

TOOLS '98 Proceedings of the 10th International Conference on Computer Performance Evaluation: Modelling Techniques and Tools
On a Multigrid Eigensolver for Linear Elasticity Problems

NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
A Homotopic Residual Correction Process

NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
An Efficient Parallel Algorithm for the Symmetric Tridiagonal Eigenvalue Problem

VECPAR '00 Selected Papers and Invited Talks from the 4th International Conference on Vector and Parallel Processing
Optimal a priori error bounds for the Rayleigh-Ritz method

Mathematics of Computation
Semidefinite programming for discrete optimization and matrix completion problems

Discrete Applied Mathematics
Convergence of the shifted QR algorithm for unitary Hessenberg matrices

Mathematics of Computation
A Framework for Robust Subspace Learning

International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
A geometric theory for preconditioned inverse iteration applied to a subspace

Mathematics of Computation
On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods

Journal of Computational Physics
Multigrain Parallelism for Eigenvalue Computations on Networks of Clusters

HPDC '02 Proceedings of the 11th IEEE International Symposium on High Performance Distributed Computing
Computational experience with sequential and parallel, preconditioned Jacobi--Davidson for large, sparse symmetric matrices

Journal of Computational Physics
References

Sourcebook of parallel computing
A projection method for generalized eigenvalue problems using numerical integration

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002
Rational approximation preconditioners for sparse linear systems

Journal of Computational and Applied Mathematics
Parallel, multigrain iterative solvers for hiding network latencies on MPPs and networks of clusters

Parallel Computing - Parallel matrix algorithms and applications (PMAA '02)
From FNS to HEIV: A Link between Two Vision Parameter Estimation Methods

IEEE Transactions on Pattern Analysis and Machine Intelligence
Undominated d.c. Decompositions of Quadratic Functions and Applications to Branch-and-Bound Approaches

Computational Optimization and Applications
Clustering Large Graphs via the Singular Value Decomposition

Machine Learning
Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization

Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
Passive Synthesis of Compact Frequency-Dependent Interconnect Models via Quadrature Spectral Rules

Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
Block tridiagonalization of "effectively" sparse symmetric matrices

ACM Transactions on Mathematical Software (TOMS)
Updating the singular value decomposition

Journal of Computational and Applied Mathematics
Provable dimension detection using principal component analysis

SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Algorithm 845: EIGIFP: a MATLAB program for solving large symmetric generalized eigenvalue problems

ACM Transactions on Mathematical Software (TOMS)
Matrix computations

Encyclopedia of Computer Science
Accelerating the SVD Block-Jacobi Method

Computing - Editorial: Special issue on GAMM – Workshop on Guaranteed Error-bounds for the Solution of Nonlinear Problems in Applied Mathematics
A Fourier-Wachspress method for solving Helmholtz's equation in three-dimensional layered domains

Journal of Computational Physics
A Fourier-Wachspress method for solving Helmholtz's equation in three-dimensional layered domains

Journal of Computational Physics
Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

Journal of Computational and Applied Mathematics
Single-carrier cyclic prefix-assisted CDMA system with frequency domain equalization for high data rate transmission

EURASIP Journal on Wireless Communications and Networking - Special issue on innovative signal transmission and detection techniques for next generation cellular CDMA systems
Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Multisurface Proximal Support Vector Machine Classification via Generalized Eigenvalues

IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form

Contemporary mathematics
The design and implementation of the MRRR algorithm

ACM Transactions on Mathematical Software (TOMS)
Basis selection in LOBPCG

Journal of Computational Physics
Error analysis of the Trefftz method for solving Laplace's eigenvalue problems

Journal of Computational and Applied Mathematics
A neural network model for speech intelligibility quantification

Applied Soft Computing
Effective condition number for finite difference method

Journal of Computational and Applied Mathematics
The use of bulk states to accelerate the band edge state calculation of a semiconductor quantum dot

Journal of Computational Physics
SIPs: Shift-and-invert parallel spectral transformations

ACM Transactions on Mathematical Software (TOMS)
Self-consistent-field calculations using Chebyshev-filtered subspace iteration

Journal of Computational Physics
An efficient algorithm for the Schrödinger-Poisson eigenvalue problem

Journal of Computational and Applied Mathematics
Twin Support Vector Machines for Pattern Classification

IEEE Transactions on Pattern Analysis and Machine Intelligence
Smoothed penalty algorithms for optimization of nonlinear models

Computational Optimization and Applications
A parallel symmetric block-tridiagonal divide-and-conquer algorithm

ACM Transactions on Mathematical Software (TOMS)
Null space and eigenspace computations with additive preprocessing

Proceedings of the 2007 international workshop on Symbolic-numeric computation
Real root-finding

Proceedings of the 2007 international workshop on Symbolic-numeric computation
Iterative computation of negative curvature directions in large scale optimization

Computational Optimization and Applications
Out-of-core SVD performance for document indexing

Applied Numerical Mathematics
Regularizing inverse preconditioners for symmetric band Toeplitz matrices

EURASIP Journal on Applied Signal Processing
Hierarchic higher-order hermite elements on hybrid triangular/quadrilateral meshes

Mathematics and Computers in Simulation
A Jacobi-Davidson type method for the product eigenvalue problem

Journal of Computational and Applied Mathematics
Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization

ACM Transactions on Mathematical Software (TOMS)
Eigenvalue computation for unitary rank structured matrices

Journal of Computational and Applied Mathematics
Modified anti-Gauss and degree optimal average formulas for Gegenbauer measure

Applied Numerical Mathematics
Spectral preconditioning of Krylov spaces: Combining PLS and PC regression

Computational Statistics & Data Analysis
On solving sparse symmetric linear systems whose definiteness is unknown

Applied Numerical Mathematics
Conjugate-gradient eigenvalue solvers in computing electronic properties of nanostructure architectures

International Journal of Computational Science and Engineering
An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems

ACM Transactions on Mathematical Software (TOMS)
Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers

ACM Transactions on Mathematical Software (TOMS)
State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems

Journal of Computational Physics
Parallel computation of the eigenvalues of symmetric Toeplitz matrices through iterative methods

Journal of Parallel and Distributed Computing
Discrete fractional Fourier transform based on the eigenvectors of tridiagonal and nearly tridiagonal matrices

Digital Signal Processing
Solving a non-smooth eigenvalue problem using operator-splitting methods

International Journal of Computer Mathematics - Splitting Methods for Differential Equations
A classification method based on generalized eigenvalue problems

Optimization Methods & Software - Systems Analysis, Optimization and Data Mining in Biomedicine
Accelerating configuration interaction calculations for nuclear structure

Proceedings of the 2008 ACM/IEEE conference on Supercomputing
Tikhonov Regularization Parameter in Reproducing Kernel Hilbert Spaces with Respect to the Sensitivity of the Solution

ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part I
Computing several eigenpairs of Hermitian problems by conjugate gradient iterations

Journal of Computational Physics
A sparse nonsymmetric eigensolver for distributed memory architectures

International Journal of Parallel, Emergent and Distributed Systems
A Parallel Implementation of the Trace Minimization Eigensolver

High Performance Computing for Computational Science - VECPAR 2008
Efficient solution of the Schroedinger-Poisson equations in layered semiconductor devices

Journal of Computational Physics
Transient solutions for multi-server queues with finite buffers

Queueing Systems: Theory and Applications
A Supervised Learning Technique and Its Applications to Computational Biology

Computational Intelligence Methods for Bioinformatics and Biostatistics
Relatively simple finite element formulation for the large amplitude free vibrations of uniform beams

Finite Elements in Analysis and Design
Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
ScaLAPACK's MRRR algorithm

ACM Transactions on Mathematical Software (TOMS)
Sensitivity of the Lanczos recurrence to Gaussian quadrature data: How malignant can small weights be?

Journal of Computational and Applied Mathematics
A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems

Journal of Computational and Applied Mathematics
A multiple shift QR-step for structured rank matrices

Journal of Computational and Applied Mathematics
Generalized consistent estimation on low-rank Krylov subspaces of arbitrarily high dimension

IEEE Transactions on Signal Processing
Compressive-projection principal component analysis

IEEE Transactions on Image Processing
On certain large random Hermitian Jacobi matrices with applications to wireless communications

IEEE Transactions on Information Theory
Improved MDS-based multi-target tracking algorithm

WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
dAMUSE---A new tool for denoising and blind source separation

Digital Signal Processing
The generalized eigendecomposition approach to the blind source separation problem

Digital Signal Processing
Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

Journal of Computational and Applied Mathematics
A truncated-CG style method for symmetric generalized eigenvalue problems

Journal of Computational and Applied Mathematics
On computing the eigenvectors of a class of structured matrices

Journal of Computational and Applied Mathematics
PRIMME: preconditioned iterative multimethod eigensolver—methods and software description

ACM Transactions on Mathematical Software (TOMS)
Separation of water artifacts in 2D NOESY protein spectra using congruent matrix pencils

Neurocomputing
Paper: Efficient logarithmic time parallel algorithms for the cholesky decomposition and gram-schmidt process

Parallel Computing
A class of Lanczos-like algorithms implemented on parallel computers

Parallel Computing
Generalized Power Method for Sparse Principal Component Analysis

The Journal of Machine Learning Research
An experimental evaluation of a Monte-Carlo algorithm for singular value decomposition

PCI'01 Proceedings of the 8th Panhellenic conference on Informatics
Time-memory trade-offs using sparse matrix methods for large-scale eigenvalue problems

ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Improving the numerical simulation of an airflow problem with the BlockCGSI algorithm

VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
Evaluation of several variants of explicitly restarted lanczos eigensolvers and their parallel implementations

VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
Performance evaluation of parallel gram-schmidt re-orthogonalization methods

VECPAR'02 Proceedings of the 5th international conference on High performance computing for computational science
Superquadratic convergence of DLASQ for computing matrix singular values

Journal of Computational and Applied Mathematics
On the relationships between power iteration, inverse iteration and FastICA

ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Spectral measures for kernel matrices comparison

ICANN'07 Proceedings of the 17th international conference on Artificial neural networks
Euclidean structure from confocal conics: Theory and application to camera calibration

Computer Vision and Image Understanding
Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method

ACM Transactions on Mathematical Software (TOMS)
Hierarchical Shape Segmentation and Registration via Topological Features of Laplace-Beltrami Eigenfunctions

International Journal of Computer Vision
Saving flops in LU based shift-and-invert strategy

Journal of Computational and Applied Mathematics
A minimum norm approach for low-rank approximations of a matrix

Journal of Computational and Applied Mathematics
Bilinear Lanczos components for fast dimensionality reduction and feature extraction

Pattern Recognition
A Rayleigh-Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matrices

Journal of Computational Physics
Block Householder computation of sparse matrix singular values

SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference
Algebraic and numerical algorithms

Algorithms and theory of computation handbook
On parallelizing the MRRR algorithm for data-parallel coprocessors

PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration

SIAM Journal on Matrix Analysis and Applications
An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation

ACM Transactions on Mathematical Software (TOMS)
New progress in real and complex polynomial root-finding

Computers & Mathematics with Applications
On the Convergence of Rational Ritz Values

SIAM Journal on Matrix Analysis and Applications
Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems

SIAM Journal on Matrix Analysis and Applications
Further Analysis of the Arnoldi Process for Eigenvalue Problems

SIAM Journal on Numerical Analysis
Numerical Methods for Electronic Structure Calculations of Materials

SIAM Review
Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides

SIAM Journal on Scientific Computing
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics

SIAM Journal on Scientific Computing
A Refined Harmonic Lanczos Bidiagonalization Method and an Implicitly Restarted Algorithm for Computing the Smallest Singular Triplets of Large Matrices

SIAM Journal on Scientific Computing
An Implicit Multishift $QR$-Algorithm for Hermitian Plus Low Rank Matrices

SIAM Journal on Scientific Computing
Investigation of Preconditioning Techniques for the Iteratively Regularized Gauss-Newton Method for Exponentially Ill-Posed Problems

SIAM Journal on Scientific Computing
Improving accuracy for matrix multiplications on GPUs

Scientific Programming
Solving symmetric eigenvalue problem via genetic algorithms: Serial versus parallel implementation

Applied Soft Computing
Recursive projection twin support vector machine via within-class variance minimization

Pattern Recognition
A concurrent object-oriented approach to the eigenproblem treatment in shared memory multicore environments

ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part I
Supervised classification methods for mining cell differences as depicted by Raman spectroscopy

CIBB'10 Proceedings of the 7th international conference on Computational intelligence methods for bioinformatics and biostatistics
GViewer: GPU-accelerated graph visualization and mining

SocInfo'11 Proceedings of the Third international conference on Social informatics
Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices

Applied Numerical Mathematics
An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process

SIAM Journal on Matrix Analysis and Applications
The Trace Ratio Optimization Problem for Dimensionality Reduction

SIAM Journal on Matrix Analysis and Applications
Riemannian Newton Method for the Multivariate Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications
Ergodicity Coefficients Defined by Vector Norms

SIAM Journal on Matrix Analysis and Applications
Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm

SIAM Journal on Matrix Analysis and Applications
On the Numerical Analysis of Oblique Projectors

SIAM Journal on Matrix Analysis and Applications
Lehmann Bounds and Eigenvalue Error Estimation

SIAM Journal on Numerical Analysis
Restarting the Nonsymmetric Lanczos Algorithm for Eigenvalues and Linear Equations Including Multiple Right-Hand Sides

SIAM Journal on Scientific Computing
The dynamics of matrix coupling with an application to krylov methods

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
Monitoring the block conjugate gradient convergence within the inexact inverse subspace iteration

PPAM'05 Proceedings of the 6th international conference on Parallel Processing and Applied Mathematics
Fuzzy proximal support vector classification via generalized eigenvalues

PReMI'05 Proceedings of the First international conference on Pattern Recognition and Machine Intelligence
Numerical enclosure for each eigenvalue in generalized eigenvalue problem

Journal of Computational and Applied Mathematics
Block matching for ontologies

ISWC'06 Proceedings of the 5th international conference on The Semantic Web
Computing equilibrium prices in exchange economies with tax distortions

ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
Partial spectral information from linear systems to speed-up numerical simulations in computational fluid dynamics

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science
A comparison of parallel preconditioners for the sparse generalized eigenvalue problems by rayleigh-quotient minimization

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Algebraic sub-structuring for electromagnetic applications

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Least squares recursive projection twin support vector machine for classification

Pattern Recognition
Adaptive model trust region methods for generalized eigenvalue problems

ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Fast verification for respective eigenvalues of symmetric matrix

CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
Overview and recent advances in partial least squares

SLSFS'05 Proceedings of the 2005 international conference on Subspace, Latent Structure and Feature Selection
The algorithm of multiple relatively robust representations for multi-core processors

PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume Part I
A DC programming approach for solving the symmetric Eigenvalue Complementarity Problem

Computational Optimization and Applications
A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence

Journal of Computational and Applied Mathematics
A weighted view on the partial least-squares algorithm

Automatica (Journal of IFAC)
A communication-avoiding thick-restart lanczos method on a distributed-memory system

Euro-Par'11 Proceedings of the 2011 international conference on Parallel Processing
A new algorithm for computing eigenpairs of matrices

Mathematical and Computer Modelling: An International Journal
On convergence of the inexact Rayleigh quotient iteration with MINRES

Journal of Computational and Applied Mathematics
An overview on the eigenvalue computation for matrices

Neural, Parallel & Scientific Computations
Divide and Conquer on Hybrid GPU-Accelerated Multicore Systems

SIAM Journal on Scientific Computing
dqds with Aggressive Early Deflation

SIAM Journal on Matrix Analysis and Applications
Detecting Localization in an Invariant Subspace

SIAM Journal on Scientific Computing
Reliable Eigenvalues of Symmetric Tridiagonals

SIAM Journal on Matrix Analysis and Applications
Free vibration analysis of locally modified regular structures using shifted inverse iteration method

Computers and Structures
Fractional discrete Fourier transform of type IV based on the eigenanalysis of a nearly tridiagonal matrix

Digital Signal Processing
A Hoffman-Wielandt-type residual bound for generalized eigenvalues of a definite pair

Journal of Computational and Applied Mathematics
Homotopy method for the eigenvalues of symmetric tridiagonal matrices

Journal of Computational and Applied Mathematics
On optimizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient on the unit sphere

Computational Optimization and Applications
An algorithm for computing the eigenvalues of block companion matrices

Numerical Algorithms
Randomized SVD methods in hyperspectral imaging

Journal of Electrical and Computer Engineering - Special issue on Algorithms for Multispectral and Hyperspectral Image Analysis
Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem

Journal of Computational and Applied Mathematics
Tensor-SIFT Based Earth Mover's Distance for Contour Tracking

Journal of Mathematical Imaging and Vision
Reducing the influence of tiny normwise relative errors on performance profiles

ACM Transactions on Mathematical Software (TOMS)
A proximal classifier with consistency

Knowledge-Based Systems
Algorithm 933: Reliable calculation of numerical rank, null space bases, pseudoinverse solutions, and basic solutions using suitesparseQR

ACM Transactions on Mathematical Software (TOMS)
Probabilistic Upper Bounds for the Matrix Two-Norm

Journal of Scientific Computing
An Efficient High-Order Time Integration Method for Spectral-Element Discontinuous Galerkin Simulations in Electromagnetics

Journal of Scientific Computing
An implicitly restarted Lanczos bidiagonalization method with refined harmonic shifts for computing smallest singular triplets

Journal of Computational and Applied Mathematics
On refined Ritz vectors and polynomial characterization

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.15

The symmetric eigenvalue problem

Quantified Score

Visualization

Abstract