Structured Mapping Problems for Matrices Associated with Scalar Products. Part I: Lie and Jordan Algebras

DOI10.1137/060657856zbMath1155.15004OpenAlexW2139529710MaRDI QIDQ3537455

D. Steven Mackey, Niloufer Mackey, Françoise Tisseur

Publication date: 6 November 2008

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060657856

zbMATH Keywords

Lie algebraminimal Frobenius normJordan algebrabackward errorstructured matrixminimal rankpersymmetricminimal 2-normperskew-symmetric

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Structure theory for Jordan algebras (17C10) Quadratic and bilinear forms, inner products (15A63)

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