A sparse matrix arithmetic based on H-matrices. Part I: introduction to H-matrices

Multilevel approximation of boundary integral operators

Computing

Data-sparse approximation by adaptive H2-matrices

Computing

Fast Stable Solver for Sequentially Semi-separable Linear Systems of Equations

HiPC '02 Proceedings of the 9th International Conference on High Performance Computing

H2-matrix approximation of integral operators by interpolation

Applied Numerical Mathematics

Adaptive low-rank approximation of collocation matrices

Computing

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

Computing

H-matrices for convection-diffusion problems with constant convection

Computing

Construction and arithmetics of H-matrices

Computing

Fast evaluation of boundary integral operators arising from an eddy current problem

Journal of Computational Physics

Adaptive Geometrically Balanced Clustering of H-Matrices

Computing

A fast direct solver for boundary integral equations in two dimensions

Journal of Computational Physics

Data-sparse algebraic multigrid methods for large scale boundary element equations

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure

Computing

The eigenvalue problem for the 2D laplacian in H-matrix arithmetic and application to the heat and wave equation

Computing

Low-rank approximation of integral operators by interpolation

Computing

**-Matrix Arithmetics in Linear Complexity

Computing

Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems

Computing

Regularization by truncated Cholesky factorization: A comparison of four different approaches

Journal of Complexity

A structured low-rank wavelet solver for the Ornstein-Zernike integral equation

Computing

An algebraic approach for $${\mathcal{H}}$$-matrix preconditioners

Computing

Hierarchical matrix techniques for a domain decomposition algorithm

Computing

Hierarchical Tensor Approximation of Multi-Dimensional Visual Data

IEEE Transactions on Visualization and Computer Graphics

On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices

Applied Numerical Mathematics

An efficient algebraic multigrid preconditioner for a fast multipole boundary element method

Computing

Principles of appearance acquisition and representation

ACM SIGGRAPH 2008 classes

Efficient representation and analysis of power grids

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

Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007

On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices

Applied Numerical Mathematics

A fast technique applied to the analysis of Resistive Wall Modes with 3D conducting structures

Journal of Computational Physics

A Fast Direct Solver for a Class of Elliptic Partial Differential Equations

Journal of Scientific Computing

A capacitance solver for incremental variation-aware extraction

Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design

Scalable Total BETI based algorithm for 3D coercive contact problems of linear elastostatics

Computing

Principles of Appearance Acquisition and Representation

Foundations and Trends® in Computer Graphics and Vision

Data-sparse algebraic multigrid methods for large scale boundary element equations

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Processor-efficient sparse matrix-vector multiplication

Computers & Mathematics with Applications

Hierarchical Matrices in Computations of Electron Dynamics

Journal of Scientific Computing

System level performance evaluation of MIMO and SISO OFDM-based WLANs

Wireless Networks

Solving a large dense linear system by adaptive cross approximation

Journal of Computational and Applied Mathematics

Fast evaluation of Helmholtz potential on graphics processing units (GPUs)

Journal of Computational Physics

Efficient simulation of power grids

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems - Special section on the ACM IEEE international conference on formal methods and models for codesign (MEMOCODE) 2009

Superfast Multifrontal Method for Large Structured Linear Systems of Equations

SIAM Journal on Matrix Analysis and Applications

Fast construction of hierarchical matrix representation from matrix-vector multiplication

Journal of Computational Physics

On the Numerical Rank of the Off-Diagonal Blocks of Schur Complements of Discretized Elliptic PDEs

SIAM Journal on Matrix Analysis and Applications

Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices

SIAM Journal on Matrix Analysis and Applications

Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices

SIAM Journal on Matrix Analysis and Applications

Discrete Symbol Calculus

SIAM Review

Dithering by Differences of Convex Functions

SIAM Journal on Imaging Sciences

Extension and optimization of the FIND algorithm: Computing Green's and less-than Green's functions

Journal of Computational Physics

Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation

Journal of Computational Physics

Comparison of geometrical and algebraic multigrid preconditioners for data-sparse boundary element matrices

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing

On the non hierarchical matrix representation of the negative, non integer order sobolev norms

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing

Hierarchical fast BEM for anisotropic time-harmonic 3-D elastodynamics

Computers and Structures

Computing All or Some Eigenvalues of Symmetric $\mathcal{H}_{\ell}$-Matrices

SIAM Journal on Scientific Computing

Eigenvalue computations in the context of data-sparse approximations of integral operators

Journal of Computational and Applied Mathematics

Symmetric photography: exploiting data-sparseness in reflectance fields

EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques

A Neumann-Neumann preconditioned iterative substructuring approach for computing solutions to Poisson's equation with prescribed jumps on an embedded boundary

Journal of Computational Physics

A fast elasto-plastic formulation with hierarchical matrices and the boundary element method

Computational Mechanics

Sampling-free linear Bayesian updating of model state and parameters using a square root approach

Computers & Geosciences

A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations

Journal of Computational Physics

Low-rank approximation of integral operators by using the Green formula and quadrature

Numerical Algorithms

An $$\mathcal O (N \log N)$$O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

Journal of Scientific Computing

A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

Journal of Computational Physics