19
eng
reportzib
0
1989-02-15
1989-02-15
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A Numerical Algorithm for Computing the Restricted Singular Value Decomposition of Matrix Triplets.
This paper presents a numerical algorithm for computing the restricted singular value decomposition of matrix triplets (RSVD). It is shown that one can use unitary transformations to separate the regular part from a general matrix triplet. After preprocessing on the regular part, one obtains a matrix triplet consisting of three upper triangular matrices of the same dimensions. The RSVD of this special matrix triplet is computed using the implicit Kogbetliantz technique. The algorithm is well suited for parallel computation. {\bf Keywords:} Restricted singular values, matrix triplets, unitary transformations, implicit Kogbetliantz technique.
SC-89-01
19
urn:nbn:de:0297-zib-194
Appeared in: Linear Algebra and Applications 168 1992 pp. 1-25.
Hongyuan Zha
ZIB-Report
SC-89-01
eng
uncontrolled
restricted singular values
eng
uncontrolled
matrix triplets
eng
uncontrolled
unitary transformations
eng
uncontrolled
implicit Kogbetliantz technique
Informatik, Informationswissenschaft, allgemeine Werke
Eigenvalues, eigenvectors
Other matrix algorithms
ZIB Allgemein
https://opus4.kobv.de/opus4-zib/files/19/SC-89-01.pdf