On the congruence transformation of a pencil of real symmetric matrices to a pencil with identical characteristic polynomial

DOI10.1016/0024-3795(83)80042-1zbMath0515.15004OpenAlexW2094093222MaRDI QIDQ1051707

O. Taussky Todd

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)80042-1

zbMATH Keywords

characteristic polynomialreal symmetric matricesautomorphnonorthogonal congruence transformations

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21)

Related Items (3)

Olga Taussky-Todd, 1906-1995 ⋮ A survey of canonical forms and invariants for unitary similarity ⋮ Pencils of complex and real symmetric and skew matrices

Cites Work

• Automorphs and generalized automorphs of quadratic forms treated as characteristic value relations
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