Necessary and sufficient conditions for the simultaneous diagonality of two quadratic forms

DOI10.1016/0024-3795(80)90188-3zbMath0434.15005OpenAlexW1988926477MaRDI QIDQ1139644

Ronald I. Becker

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90188-3

zbMATH Keywords

simultaneous diagonality

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Related Items (6)

Joint ranges of Hermitian matrices and simultaneous diagonalization ⋮ Simultaneous Diagonalization via Congruence of Hermitian Matrices: Some Equivalent Conditions and a Numerical Solution ⋮ Simultaneous orthogonalization of inner products over arbitrary fields ⋮ Solving the Problem of Simultaneous Diagonalization of Complex Symmetric Matrices via Congruence ⋮ Matrix pencils and existence conditions for quadratic programming with a sign-indefinite quadratic equality constraint ⋮ Connectivity of Quadratic Hypersurfaces and Its Applications in Optimization, Part I: General Theory

Cites Work

• A necessary and sufficient condition for simultaneous diagonalization of two hermitian matrices and its application
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