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A Numerical Algorithm for Computing the Restricted Singular Value Decomposition of Matrix Triplets.

Please always quote using this URN: urn:nbn:de:0297-zib-194
  • 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.

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Author:Hongyuan Zha
Document Type:ZIB-Report
Tag:implicit Kogbetliantz technique; matrix triplets; restricted singular values; unitary transformations
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F15 Eigenvalues, eigenvectors
65-XX NUMERICAL ANALYSIS / 65Fxx Numerical linear algebra / 65F30 Other matrix algorithms
Date of first Publication:1989/02/15
Series (Serial Number):ZIB-Report (SC-89-01)
Published in:Appeared in: Linear Algebra and Applications 168 1992 pp. 1-25.
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