On doubly structured matrices and pencils that arise in linear response theory.

DOI10.1016/S0024-3795(02)00455-XzbMath1083.65038MaRDI QIDQ1428608

Christian Mehl, Volker Mehrmann, Hong-guo Xu

Publication date: 29 March 2004

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

zbMATH Keywords

eigenvaluesCanonical formHartree-Fock modelMatrix pencilAnti-triangular formCondensed formRandom phase approximationSelf-adjoint matrixSkew-adjoint matrixSkew-Hamiltonian/Hamiltonian pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic methods (93B25) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (4)

Stable and Efficient Computation of Generalized Polar Decompositions ⋮ On some inverse eigenvalue problems for Hermitian and generalized Hamiltonian/skew-Hamiltonian matrices ⋮ Minimization principles and computation for the generalized linear response eigenvalue problem ⋮ On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients

Cites Work

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• Condensed Forms for Skew-Hamiltonian/Hamiltonian Pencils
• Analysis and numerical solution of control problems in descriptor form

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