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Rational orthogonal similarity of rational symmetric matrices

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Publication:1311316
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DOI10.1016/0024-3795(93)90239-KzbMath0787.15011MaRDI QIDQ1311316

Shmuel Friedland

Publication date: 19 May 1994

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


zbMATH Keywords

rational orthogonal similarityintegral symmetric matricesrational symmetric matrices


Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)


Related Items (3)

Orthogonal similarity and pairs of quadratic forms ⋮ A counterexample to a conjecture of Friedland ⋮ Integral quadratic forms and graphs



Cites Work

  • Quadratic forms and the graph isomorphism problem
  • A rational canonical pair form for a pair of symmetric matrices over an arbitrary field F with char F ≠ 2 and applications to finest simultaneous block diagonalizations
  • Pairs of quadratic forms
  • Unnamed Item


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