Higher order derivatives of the adjugate matrix and the Jordan form

DOI10.1016/j.laa.2023.10.005zbMath1528.15009arXiv2303.09953OpenAlexW4387521136MaRDI QIDQ6087866

Juan Galvis, Jorge I. Rubiano-Murcia

Publication date: 16 November 2023

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

Full work available at URL: https://arxiv.org/abs/2303.09953

zbMATH Keywords

Jordan normal formroot subspacesadjugate matrixCauchy integral formRiezs projector

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Diagonalization, Jordan forms (15A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The many proofs of an identity on the norm of oblique projections
• On a formula of Thompson and McEnteggert for the adjugate matrix
• Some results on eigenvalues of finite type, resolvents and Riesz projections
• Principal submatrices. II: The upper and lower quadratic inequalities
• An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms
• Acta Numerica 2002
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Invariant Subspaces of Matrices with Applications
• Functions of Matrices
• Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra