Higher order derivatives and perturbation bounds for determinants

DOI10.1016/j.laa.2009.07.003zbMath1177.15006OpenAlexW2073862696MaRDI QIDQ734922

Tanvi Jain, Rajendra Bhatia

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.003

zbMATH Keywords

normderivativedeterminantsingular valuesperturbation boundmixed discriminant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

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Optimization based methods for partially observed chaotic systems ⋮ Note on best possible bounds for determinants of matrices close to the identity matrix ⋮ Definite determinantal representations of multivariate polynomials ⋮ Spectral Properties of Kernel Matrices in the Flat Limit ⋮ Market completion with derivative securities ⋮ Derivatives for antisymmetric tensor powers and perturbation bounds ⋮ Estimates of the determinant of a perturbed identity matrix ⋮ Verified bounds for the determinant of real or complex point or interval matrices ⋮ An alternative proof on higher order derivatives of a multilinear map

Cites Work

• Unnamed Item
• The Van der Waerden conjecture for mixed discriminants
• Mixed discriminants of positive semidefinite matrices
• Variation of Grassmann powers and spectra
• Differentiation of operator functions and perturbation bounds
• Positive definite matrices
• Perturbation Bounds for Matrix Eigenvalues
• Perturbation Bounds for Determinants and Characteristic Polynomials
• Functions of Matrices

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