Schur-like forms for matrix Lie groups, Lie algebras and Jordan algebras

DOI10.1016/S0024-3795(98)10133-7zbMath0959.17002OpenAlexW2082077121WikidataQ115339985 ScholiaQ115339985MaRDI QIDQ1301292

Volker Mehrmann, Christian Mehl, Gregory S. Ammar

Publication date: 8 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10133-7

zbMATH Keywords

matrix Lie groupssimilarity transformationsSchur-like forms

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Structure theory for Lie algebras and superalgebras (17B05) Eigenvalues, singular values, and eigenvectors (15A18) General properties and structure of complex Lie groups (22E10) Structure theory for Jordan algebras (17C10)

Related Items

The hyperbolic Schur decomposition, On doubly structured matrices and pencils that arise in linear response theory., On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms, \(\mathbb G\)-reflectors: Analogues of Householder transformations in scalar product spaces, Singular-value-like decomposition for complex matrix triples

Cites Work

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• Solution of the large matrix equations which occur in response theory
• An analysis of the HR algorithm for computing the eigenvalues of a matrix
• A KQZ algorithm for solving linear-response eigenvalue equations
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• On some algebraic problems in connection with general eigenvalue algorithms
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• Normal forms of elements of classical real and complex Lie and Jordan algebras
• An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix
• A Chart of Numerical Methods for Structured Eigenvalue Problems
• Canonical forms for symplectic and Hamiltonian matrices
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