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Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates (Q1684462)

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Language	Label	Description	Also known as
English	Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates	scientific article

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scholarly article

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Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates (English)

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Computing and Visualization in Science

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publication date

8 December 2017

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full work available at URL

https://arxiv.org/abs/1402.5056

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices

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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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\(\mathcal H^2\)-matrix arithmetics in linear complexity

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Adaptive Variable-Rank Approximation of General Dense Matrices

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Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices

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Approximation of solution operators of elliptic partial differential equations by \({\mathcal H}\)- and \({\mathcal H}^2\)-matrices

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

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Data-sparse approximation by adaptive \({\mathcal H}^2\)-matrices

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Approximation of integral operators by variable-order interpolation

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A fast adaptive solver for hierarchically semiseparable representations

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Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator

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\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices

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Construction and arithmetics of \(\mathcal H\)-matrices

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Domain decomposition based \({\mathcal H}\)-LU preconditioning

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A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices

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Hierarchische Matrizen

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A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems

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Methods of conjugate gradients for solving linear systems

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The eigenvalue problem for the 2D Laplacian in \({\mathcal H}\)-matrix arithmetic and application to the heat and wave equation

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A fast direct solver for a class of elliptic partial differential equations

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A fast algorithm for the inversion of general Toeplitz matrices

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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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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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DBLP publication ID

journals/comvis/BormR13

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10.1007/S00791-015-0233-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:1684462

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