The Antitriangular Factorization of Symmetric Matrices
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Publication:5300551
DOI10.1137/110858860zbMath1272.65031OpenAlexW2058209031MaRDI QIDQ5300551
Paul Van Dooren, Nicola Mastronardi
Publication date: 27 June 2013
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/110858860
algorithmnumerical experimentsfactorizationinertiaeigenvalue estimatesaddle point problemindefinite matrix
Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (11)
Backward error and condition number analysis for the indefinite linear least squares problem ⋮ Rank-revealing decomposition of symmetric indefinite matrices via block anti-triangular factorization ⋮ Sparse block factorization of saddle point matrices ⋮ Numerical issues in computing the antitriangular factorization of symmetric indefinite matrices ⋮ The antitriangular factorization of skew-symmetric matrices ⋮ Anti-diagonalization theory and algorithm of matrices -- from skew-symmetric matrices to arbitrary matrices ⋮ An algorithm for solving the indefinite least squares problem with equality constraints ⋮ Symmetric elimination without pivoting ⋮ Threshold incomplete factorization constraint preconditioners for saddle-point matrices ⋮ A block algorithm for computing antitriangular factorizations of symmetric matrices ⋮ Iterative Solution of Saddle-Point Systems from Radial Basis Function (RBF) Interpolation
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