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Analysis of a QR Algorithm for Computing Singular Values

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Publication:4835411
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DOI10.1137/S0895479892236532zbMath0827.65040OpenAlexW2159088434MaRDI QIDQ4835411

Ilse C. F. Ipsen, Shivkumar Chandrasekaran

Publication date: 30 November 1995

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479892236532


zbMATH Keywords

algorithmconvergenceeigenvaluestridiagonal matrixsingular valuessingular vectorssymmetric matricesbidiagonal matricesQR algorithmmonotonic convergencedivide-and- conquer algorithmGolub-Kahan algorithm


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05) Orthogonalization in numerical linear algebra (65F25)


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Randomized QLP decomposition ⋮ The continuous-time Rayleigh quotient flow on the sphere ⋮ Implicit Cholesky algorithms for singular values and vectors of triangular matrices ⋮ On iterative QR pre-processing in the parallel block-Jacobi SVD algorithm ⋮ On the \(QR\) algorithm and updating the \(SVD\) and the \(URV\) decomposition in parallel



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