Solution of the matrix equation AX + XB = C [F4]

Data-flow algorithms for parallel matrix computation

Communications of the ACM

Solution of the Sylvester matrix equation AXBT + CXDT = E

ACM Transactions on Mathematical Software (TOMS)

On computing condition numbers for the nonsymmetric eigenproblem

ACM Transactions on Mathematical Software (TOMS)

LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs

ACM Transactions on Mathematical Software (TOMS)

An algorithm for power estimation in switched-capacitor circuits

Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design

On the Positive Definite Solutions to the 2-D Continuous-timeLyapunov Equation

Multidimensional Systems and Signal Processing

Parallel Wavefront Algorithms Solving Lyapunov Equations for the Cholesky Factor on Message Passing Multiprocessors

The Journal of Supercomputing

New ADI model problem applications

ACM '86 Proceedings of 1986 ACM Fall joint computer conference

Parallel Partial Stabilizing Algorithms for Large Linear Control Systems

The Journal of Supercomputing

Recursive blocked algorithms for solving triangular systems—Part I: one-sided and coupled Sylvester-type matrix equations

ACM Transactions on Mathematical Software (TOMS)

Recursive blocked algorithms for solving triangular systems—Part II: two-sided and generalized Sylvester and Lyapunov matrix equations

ACM Transactions on Mathematical Software (TOMS)

An efficient DC-gain matched balanced truncation realization for VLSI Interconnect circuit order reduction

Microelectronic Engineering

The Decompositional Approach to Matrix Computation

Computing in Science and Engineering

An Analysis of a Reliability Model for Repairable Fault-Tolerant Systems

IEEE Transactions on Computers

Parallel Two-Sided Sylvester-Type Matrix Equation Solvers for SMP Systems Using Recursive Blocking

PARA '02 Proceedings of the 6th International Conference on Applied Parallel Computing Advanced Scientific Computing

Solving Large Sparse Lyapunov Equations on Parallel Computers (Research Note)

Euro-Par '02 Proceedings of the 8th International Euro-Par Conference on Parallel Processing

Parallel Cyclic Wavefront Algorithms for Solving Semidefinite Lyapunov Equations

Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing

Computing tall skinny solutions of AX - XB = C

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics

Formal derivation of algorithms: The triangular sylvester equation

ACM Transactions on Mathematical Software (TOMS)

Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices

Computing

Krylov subspace methods for large-scale matrix problems in control

Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control

Noise Analysis for Optical Fiber Communication Systems

Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design

An efficient algorithm for damper optimization for linear vibrating systems using Lyapunov equation

Journal of Computational and Applied Mathematics

Non-Monte Carlo formulations and computational techniques for the stochastic non-linear Schrödinger equation

Journal of Computational Physics

Solving SDGE Models: A New Algorithm for the Sylvester Equation

Computational Economics

Fast Solvers and Sylvester Equations: Both Sides Now

Computing in Science and Engineering

Time domain model order reduction by wavelet collocation method

Proceedings of the conference on Design, automation and test in Europe: Proceedings

Factorization of moving-average spectral densities by state-space representations and stacking

Journal of Multivariate Analysis

Improving the performance of reduction to Hessenberg form

ACM Transactions on Mathematical Software (TOMS)

Low rank approximate solutions to large Sylvester matrix equations

Applied Mathematics and Computation

The processor-sharing queue with bulk arrivals and phase-type services

Performance Evaluation

A new projection method for solving large Sylvester equations

Applied Numerical Mathematics

Sylvester Tikhonov-regularization methods in image restoration

Journal of Computational and Applied Mathematics

Block variants of Hammarling's method for solving Lyapunov equations

ACM Transactions on Mathematical Software (TOMS)

Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations

Applied Numerical Mathematics

Trail to a Lyapunov equation solver

Computers & Mathematics with Applications

Partial stabilisation of large-scale discrete-time linear control systems

International Journal of Computational Science and Engineering

Parallel Algorithms for Triangular Periodic Sylvester-Type Matrix Equations

Euro-Par '08 Proceedings of the 14th international Euro-Par conference on Parallel Processing

Behavioural modelling using the MOESP algorithm, dynamic neural networks and the Bartels--Stewart algorithm

Applied Numerical Mathematics

Algorithm 894: On a block Schur--Parlett algorithm for ϕ-functions based on the sep-inverse estimate

ACM Transactions on Mathematical Software (TOMS)

On matrix equations X-AXF=C and X-AXF=C

Journal of Computational and Applied Mathematics

On the ADI method for Sylvester equations

Journal of Computational and Applied Mathematics

Predicting the topology of dynamic neural networks for the simulation of electronic circuits

Neurocomputing

Time-reversal detection using antenna arrays

IEEE Transactions on Signal Processing

Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method

Journal of Computational Physics

The continuous closed form controllability Gramian and its inverse

ACC'09 Proceedings of the 2009 conference on American Control Conference

Numerical method for regional pole assignment of linear control systems

NMA'06 Proceedings of the 6th international conference on Numerical methods and applications

Approximation of low rank solutions for linear quadratic control of partial differential equations

Computational Optimization and Applications

Parallel algorithms and condition estimators for standard and generalized triangular Sylvester-type matrix equations

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing

Recursive blocked algorithms for solving periodic triangular Sylvester-type matrix equations

PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing

Pose estimation from multiple cameras based on Sylvester's equation

Computer Vision and Image Understanding

Closed-form solutions to Sylvester-conjugate matrix equations

Computers & Mathematics with Applications

Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part I: Theory and Algorithms

ACM Transactions on Mathematical Software (TOMS)

Algorithm 904: The SCASY Library—Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part II

ACM Transactions on Mathematical Software (TOMS)

An invariant subspace method for large-scale algebraic Riccati equation

Applied Numerical Mathematics

Extended Arnoldi methods for large low-rank Sylvester matrix equations

Applied Numerical Mathematics

Adams-Bashforth and Adams-Moulton methods for solving differential Riccati equations

Computers & Mathematics with Applications

Approximated tensor sum preconditioner for stochastic automata networks

IPDPS'06 Proceedings of the 20th international conference on Parallel and distributed processing

Verified Computation of Square Roots of a Matrix

SIAM Journal on Matrix Analysis and Applications

Continuation of Invariant Subspaces for Parameterized Quadratic Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications

A wavelet-collocation-based trajectory Piecewise-linear algorithm for time-domain model-order reduction of nonlinear circuits

IEEE Transactions on Circuits and Systems Part I: Regular Papers

Technical communique: An efficient algorithm for the solution of a coupled Sylvester equation appearing in descriptor systems

Automatica (Journal of IFAC)

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

Quasi-Newton methods in infinite-dimensional spaces and application to matrix equations

Journal of Global Optimization

Convex constrained optimization for large-scale generalized Sylvester equations

Computational Optimization and Applications

A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms

Parallel Computing

Efficient model order reduction of large-scale systems on multi-core platforms

ICCSA'11 Proceedings of the 2011 international conference on Computational science and Its applications - Volume Part V

On the numerical solution of large-scale sparse discrete-time Riccati equations

Advances in Computational Mathematics

Krylov subspace methods for projected Lyapunov equations

Applied Numerical Mathematics

A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations

SIAM Journal on Matrix Analysis and Applications

Conditioning and error estimation in the numerical solution of matrix riccati equations

NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications

Image denoising using the lyapunov equation from non-uniform samples

ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I

Feature fusion for 3D hand gesture recognition by learning a shared hidden space

Pattern Recognition Letters

Parallel model reduction of large linear descriptor systems via balanced truncation

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science

Numerical integration of the differential riccati equation: a high performance computing approach

VECPAR'04 Proceedings of the 6th international conference on High Performance Computing for Computational Science

Automatic derivation of linear algebra algorithms with application to control theory

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

Evaluating parallel algorithms for solving sylvester-type matrix equations: direct transformation-based versus iterative matrix-sign-function-based methods

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

Paper: Sequential stability and optimization of large scale decentralized systems

Automatica (Journal of IFAC)

Brief papers: Hierarchical computation of decentralized gains for interconnected systems

Automatica (Journal of IFAC)

Brief Suboptimal Markovian smoothing estimates based on continuous curves of solutions of the algebraic Riccati inequality

Automatica (Journal of IFAC)

A Hessenberg method for the numerical solutions to types of block Sylvester matrix equations

Mathematical and Computer Modelling: An International Journal

Self-taught dimensionality reduction on the high-dimensional small-sized data

Pattern Recognition

Optimization of the solution of the parameter-dependent Sylvester equation and applications

Journal of Computational and Applied Mathematics

On the ADI method for the Sylvester equation and the optimal-H2 points

Applied Numerical Mathematics

Local image tagging via graph regularized joint group sparsity

Pattern Recognition

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method

Numerical Algorithms

Accelerating a Recurrent Neural Network to Finite-Time Convergence for Solving Time-Varying Sylvester Equation by Using a Sign-Bi-power Activation Function

Neural Processing Letters

Classical simulation of dissipative fermionic linear optics

Quantum Information & Computation

Output stabilization of time-varying input delay systems using interval observation technique

Automatica (Journal of IFAC)

On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation AX+XB=C

Computers & Mathematics with Applications

Monotone convergence of Newton-like methods for M-matrix algebraic Riccati equations

Numerical Algorithms