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Algorithm 358: singular value decomposition of a complex matrix [F1, 4, 5]
Full text PdfPdf (674 KB)
Source
Communications of the ACM archive
Volume 12 ,  Issue 10  (October 1969) table of contents
Pages: 564 - 565  
Year of Publication: 1969
ISSN:0001-0782
Authors
Peter A. Businger  Bell Telephone Labs, Inc., Murray Hill, NJ
Gene H. Golub  Bell Telephone Labs, Inc., Murray Hill, NJ
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 18,   Downloads (12 Months): 76,   Citation Count: 4
Additional Information:

references   cited by   index terms   collaborative colleagues  

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
GOLUB, G. Least squares, singular values, and matrix approximations. Aplikace Matematiky 18 (1968), 44-51.
 
2
GOLUB, G., AND KAHAN, W. Calculating the singular values and pseudoinverse of a matrix. J. SIAM Numer. Anal. 2 (1965), 205-224.
 
3
GOLUB, G., AND REINSCH, C. Singular value decomposition and least squares solutions. Numer. Math. (to appear)

CITED BY  4
Bo Kågström , Axel Ruhe, Algorithm 560: JNF, An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix [F2], ACM Transactions on Mathematical Software (TOMS), v.6 n.3, p.437-443, Sept. 1980
Bo Kågström , Axel Ruhe, An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix, ACM Transactions on Mathematical Software (TOMS), v.6 n.3, p.398-419, Sept. 1980
Augustin A. Dubrulle, An extension of the domain of the APL domino function to rank deficient linear least squares systems, Proceedings of seventh international conference on APL, p.105-114, June 11-13, 1975, Pisa, Italy
K. M. Brown, Computer oriented methods for fitting tabular data in the linear and nonlinear least squares sense, Proceedings of the December 5-7, 1972, fall joint computer conference, part II, December 05-07, 1972, Anaheim, California

INDEX TERMS

Primary Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on matrices

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.6 Optimization
          Subjects: Least squares methods


General Terms:
Algorithms


Keywords:
least squares solution, matrix decomposition, pseudoinverse, singular values

Collaborative Colleagues:
Peter A. Businger: colleagues
Gene H. Golub: colleagues

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