Determinant and Pfaffian of sum of skew symmetric matrices
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Publication:975608
DOI10.1016/j.laa.2010.03.007zbMath1195.15007OpenAlexW1997419564MaRDI QIDQ975608
Mary Clair Thompson, Tin-Yau Tam
Publication date: 10 June 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.03.007
Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)
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Toward solution of matrix equation \(X=Af(X)B+C\), Determinants of sum of orbits under compact Lie group, Determinants of sums of two real matrices and their extensions
Cites Work
- Properties of Pfaffians
- Problems in algebraic combinatorics
- Schubert varieties and degeneracy loci
- Determinant of the Sum of a Symmetric and a Skew-Symmetric Matrix
- A Normal form for a Matrix under the Unitary Congruence Group
- Matrix Analysis
- Bounds for the Determinant of the Sum of Hermitian Matrices
- The determinant of the sum of two matrices
- Ranks and determinants of the sum of matrices from unitary orbits
