Normal matrices and polar decompositions indefinite inner products

DOI10.1080/03081080108818685zbMath0996.15023OpenAlexW2064398644MaRDI QIDQ2752247

Brian Lins, Patrick Meade, Christian Mehl, Leiba Rodman

Publication date: 31 October 2002

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

Full work available at URL: https://doi.org/10.1080/03081080108818685

zbMATH Keywords

Hermitian matrixpolar decompositionindefinite inner productsnormal matrixmatrix exponentialskew-Hermitian matrixmatrix logarithmHermitian sesquilinear formskew-selfadjoint matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63)

Related Items (5)

Skew \(\phi\) polar decompositions ⋮ Hyperbolic Pseudoinverses for Kinematics in the Euclidean Group ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ Classes of normal matrices in indefinite inner products ⋮ Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).

Cites Work

• Unnamed Item
• Unnamed Item
• On classification of normal operators in real spaces with indefinite scalar product
• On classification of normal matrices in an indefinite scalar product
• Matrices and indefinite scalar products
• Normal matrices
• Normal generalized selfadjoint operators in Krein spaces
• On indecomposable normal matrices in spaces with indefinite salar product
• Polar decompositions in finite dimensional indefinite scalar product spaces: General theory
• Unitary equivalence in an indefinite scalar product: An analogue of singular-value decomposition
• Classification of normal operators in spaces with indefinite scalar product of rank 2
• Algebraic Polar Decomposition
• On h-unitary and block-toeplitz h-normal operators
• Classification of block-toeplitzh-normal operators
• Extension of Isometries in Finite-Dimensional Indefinite Scalar Product Spaces and Polar Decompositions

This page was built for publication: Normal matrices and polar decompositions indefinite inner products