Structured tools for structured matrices

DOI10.13001/1081-3810.1101zbMath1027.15013OpenAlexW2140412681MaRDI QIDQ4706990

D. Steven Mackey, Niloufer Mackey, Françoise Tisseur

Publication date: 6 July 2003

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/123080

zbMATH Keywords

Lie algebraautomorphism groupscomplex symplecticbilinear formmatrix groupsJordan algebrascalar productGivens rotationsstructured matricessesquilinear formHouseholder reflectionspseudo-unitarycomplex orthogonalconjugate symplecticcomplex pseudo-orthogonalreal perplectic

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35) Quadratic and bilinear forms, inner products (15A63)

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Uses Software

• LAPACK
• Algorithm 800

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