Anti-diagonalization theory and algorithm of matrices -- from skew-symmetric matrices to arbitrary matrices

DOI10.1016/j.matcom.2023.01.045MaRDI QIDQ6104680

Yunyun Wu, Yayun Li

Publication date: 28 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

skew-symmetric matricesanti-diagonal formdouble eigenvector system

Mathematics Subject Classification ID

Numerical analysis (65-XX) Linear and multilinear algebra; matrix theory (15-XX)

Cites Work

• An explicit formula for the determinant of a skew-symmetric pentadiagonal Toeplitz matrix
• A symbolic algorithm for periodic tridiagonal systems of equations
• The antitriangular factorization of skew-symmetric matrices
• Numerical issues in computing the antitriangular factorization of symmetric indefinite matrices
• On the determinant evaluation of quasi penta-diagonal matrices and quasi penta-diagonal Toeplitz matrices
• The Antitriangular Factorization of Symmetric Matrices
• Numerical algorithm for the determinant evaluation of cyclic pentadiagonal matrices with Toeplitz structure
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