Accurately Counting Singular Values of Bidiagonal Matrices and Eigenvalues of Skew-Symmetric Tridiagonal Matrices
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Publication:4243510
DOI10.1137/S089547989631175XzbMath0935.65031MaRDI QIDQ4243510
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Publication date: 18 May 1999
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
eigenvaluesscalingbidiagonal matricesbackward error analysisskew-symmetric tridiagonal matrices\(qd\) algorithmsnumber of singular values
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20)
Related Items (4)
Computation of exact inertia and inclusions of eigenvalues (singular values) of tridiagonal (bidiagonal) matrices ⋮ Accurate ordering of eigenvectors and singular vectors without eigenvalues and singular values. ⋮ On a class of alternating coefficient matrices quadratic eigenvalue problem ⋮ An \({\mathcal O}(n^{2})\) algorithm for the bidiagonal SVD
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