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On the symplectic eigenvalues of positive definite matrices

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Publication:1789207
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DOI10.3103/S0278641918010041zbMath1397.15007OpenAlexW2793952599MaRDI QIDQ1789207

Khakim D. Ikramov

Publication date: 10 October 2018

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641918010041


zbMATH Keywords

positive definite matrixHamiltonian matrixsymplectic matrixsymplectic eigenvaluessymplectic congruence transformation


Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18)


Related Items (5)

Fifty Three Matrix Factorizations: A Systematic Approach ⋮ Several observations on symplectic, Hamiltonian, and skew-Hamiltonian matrices ⋮ Pseudo-orthogonal eigenvalues of skew-symmetric matrices ⋮ Normal forms of symplectic matrices ⋮ Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization




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