Stability and uniqueness properties of Taylor approximations of matrix functions

DOI10.1016/j.laa.2019.07.037zbMath1428.15022OpenAlexW2966272875WikidataQ127407909 ScholiaQ127407909MaRDI QIDQ2332383

Maxim Zinchenko, Anna Skripka

Publication date: 4 November 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.07.037

zbMATH Keywords

stabilityspectral graph theorymatrix functionmatrix Taylor approximationspectral sums

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inverse problems in linear algebra (15A29) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Uses Software

• GMRFLib
• mftoolbox

Cites Work

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• Spectral shift function of higher order
• Operator-Lipschitz functions in Schatten-von Neumann classes
• Trace formula for nontrace-class perturbations
• Domains of infinitesimal generators of automorphism flows
• Higher order spectral shift
• Multilinear Schur multipliers and Schatten properties of operator Taylor remainders
• Approximation of Matrix-Valued Functions
• The Generalized Vandermonde Matrix
• Gaussian Markov Random Fields
• Multilinear Operator Integrals
• Functions of Matrices

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