Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence

DOI10.1016/j.laa.2017.09.026zbMath1376.15005arXiv1709.10350OpenAlexW2757855524MaRDI QIDQ1675659

Vladimir V. Sergeichuk, Roger A. Horn, Victor A. Bovdi, Mohammed A. Salim

Publication date: 2 November 2017

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

Full work available at URL: https://arxiv.org/abs/1709.10350

zbMATH Keywords

symplectic spacesquadratic formHamiltonian operatorscanonical formpairs of symmetric and skew-symmetric matricessymplectic congruence

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Related Items (3)

Fifty Three Matrix Factorizations: A Systematic Approach ⋮ Products of symplectic normal matrices ⋮ Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization

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