hm-toolbox: MATLAB Software for HODLR and HSS Matrices (Q5107789)

scientific article; zbMATH DE number 7194360

Language	Label	Description	Also known as
English	hm-toolbox: MATLAB Software for HODLR and HSS Matrices	scientific article; zbMATH DE number 7194360

Statements

instance of

scholarly article

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title

hm-toolbox: MATLAB Software for HODLR and HSS Matrices (English)

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SIAM Journal on Scientific Computing

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publication date

28 April 2020

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full work available at URL

https://arxiv.org/abs/1909.07909

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zbMATH Keywords

HODLR matrices

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HSS matrices

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hierarchical matrices

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MATLAB

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low-rank approximation

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describes a project that uses

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Matrices with Hierarchical Low-Rank Structures

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Existence of $\mathcal H$-matrix approximants to the inverse FE-matrix of elliptic operators with $L^\infty$-coefficients

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Decay Properties of Spectral Projectors with Applications to Electronic Structure

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Decay bounds and $O(n)$ algorithms for approximating functions of sparse matrices

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Efficient cyclic reduction for quasi-birth-death problems with rank structured blocks

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On the decay of the off-diagonal singular values in cyclic reduction

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Efficient numerical methods for non-local operators. $\mathcal H^2$-matrix compression, algorithms and analysis.

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Handbook series linear algebra. Linear least squares solutions by Householder transformations

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Some Fast Algorithms for Sequentially Semiseparable Representations

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A Fast $ULV$ Decomposition Solver for Hierarchically Semiseparable Representations

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On the Best Approximation of the Hierarchical Matrix Product

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Separable type representations of matrices and fast algorithms. Volume 1. Basics. Completion problems. Multiplication and inversion algorithms

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Separable type representations of matrices and fast algorithms. Volume 2. Eigenvalue method

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Existence of $\mathscr{H}$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator

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$\mathcal H$-matrix approximation for the operator exponential with applications

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Data-sparse approximation to the operator-valued functions of elliptic operator

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Scalable Gaussian Process Computations Using Hierarchical Matrices

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An efficient multicore implementation of a novel HSS-structured multifrontal solver using randomized sampling

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Q4917542

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Existence of a low rank or ℋ︁‐matrix approximant to the solution of a Sylvester equation

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Hierarchical Matrices: Algorithms and Analysis

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Hierarchical matrices based on a weak admissibility criterion

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Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions

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Q4840532

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Functions of Matrices

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The Scaling and Squaring Method for the Matrix Exponential Revisited

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Low-Rank Updates and a Divide-And-Conquer Method for Linear Matrix Equations

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Recompression of Hadamard Products of Tensors in Tucker Format

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Fast Computation of Spectral Projectors of Banded Matrices

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A Fast Randomized Algorithm for Computing a Hierarchically Semiseparable Representation of a Matrix

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Fast Solvers for Two-Dimensional Fractional Diffusion Equations Using Rank Structured Matrices

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Decay bounds for the numerical quasiseparable preservation in matrix functions

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Finite difference approximations for fractional advection-dispersion flow equations

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A Distributed-Memory Package for Dense Hierarchically Semi-Separable Matrix Computations Using Randomization

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Q3592290

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Low-Rank Matrix Approximation Using the Lanczos Bidiagonalization Process with Applications

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Computational Methods for Linear Matrix Equations

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Q5441430

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Q3613032

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Superfast divide-and-conquer method and perturbation analysis for structured eigenvalue solutions

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A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure

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Superfast and Stable Structured Solvers for Toeplitz Least Squares via Randomized Sampling

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Superfast Multifrontal Method for Large Structured Linear Systems of Equations

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Fast algorithms for hierarchically semiseparable matrices

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A Superfast Structured Solver for Toeplitz Linear Systems via Randomized Sampling

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Identifiers

zbMATH Open document ID

1437.15002

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DOI

10.1137/19M1288048

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5107789