Bidiagonalization is one of unitary (orthogonal) matrix decompositions such that U* A V = B, where U and V are unitary (orthogonal) matrices; * denotes...
2 KB (162 words) - 02:31, 26 February 2022
Bidiagonal matrix (section Bidiagonalization)
the singular value decomposition (SVD) uses this method as well. Bidiagonalization allows guaranteed accuracy when using floating-point arithmetic to...
2 KB (327 words) - 07:58, 29 August 2024
cyclic matrix, that rely on EPS solvers. Specific solvers based on bidiagonalization such as Golub-Kahan-Lanczos and a thick-restarted variant. PEP is...
4 KB (421 words) - 18:47, 29 March 2025
{\displaystyle m\times n} matrix, & one n × n {\displaystyle n\times n} matrix Bidiagonalization and QR algorithm O ( m 2 n ) {\displaystyle O{\mathord {\left(m^{2}n\right)}}}...
26 KB (1,576 words) - 17:24, 6 May 2025
a number of other restarted variations such as restarted Lanczos bidiagonalization. Another successful restarted variation is the Thick-Restart Lanczos...
43 KB (8,287 words) - 09:57, 15 May 2024
knowledge extraction and automated hypothesis generation Lanczos bidiagonalization (Lanczos algorithm) in linear algebra Lewy body dementia, an umbrella...
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spaces Givens rotation Krylov subspace Block matrix pseudoinverse Bidiagonalization Cuthill–McKee algorithm — permutes rows/columns in sparse matrix to...
70 KB (8,335 words) - 20:20, 17 April 2025