Localization of matrix factorizations

DOI10.1007/s10208-014-9196-xzbMath1341.15012arXiv1305.1618OpenAlexW3102812969WikidataQ114228272 ScholiaQ114228272MaRDI QIDQ896551

Tim Wertz, Thomas Strohmer, Ilya A. Krishtal

Publication date: 10 December 2015

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1618

zbMATH Keywords

Cholesky factorizationBanach algebrasLU factorizationlocalizationQR factorizationmatrix factorizationspectral invariancepolar factorizationholomorphic functional calculusoff-diagonal decayinverse-closedGohberg-Baskakov-Sjöstrand classHermitian positive definiteJaffard classSchur-type algebra

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (11)

Polynomial control on stability, inversion and powers of matrices on simple graphs ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets ⋮ Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure ⋮ Localization in Matrix Computations: Theory and Applications ⋮ Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses ⋮ Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity ⋮ Wiener's lemma: localization and various approaches ⋮ Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem ⋮ Norm-controlled inversion in weighted convolution algebras ⋮ Contraction and optimality properties of an adaptive Legendre-Galerkin method: the multi-dimensional case

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