On Constructing Unit Triangular Matrices with Prescribed Singular Values

Computing (Vienna/New York)

Volumn 64, Issue 3, 2000, Pages 279-285

  Kosowski, Przemyslaw ^a   Smoktunowicz, Alicja ^b  

^a INSTITUTE OF MATHEMATICS   (Poland)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Singular value decomposition; Stability; Triangular matrix

Indexed keywords

EID: 0012031757     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006070050047     Document Type: Article

References (9)

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3. Golub, G. H., Van Loan, C. F.: Matrix computations, 3rd ed. The Johns Hopkins University Press: Baltimore, 1996.
4. Higham, N. J.: Accuracy and stability of numerical algorithms. SIAM: Philadelphia, 1996.
5. Higham, N. J.: Notes on accuracy and stability of algorithms in numerical linear algebra. In: Proceedings of EPSRC Numerical Analysis Summer School, Leicester University, July 1988 (to appear).
6. Horn, A.: On the eigenvalues of a matrix with prescribed singular values. Proc. Amer. Math. Soc. 5, 4-7 (1954).
7. Horn, R. A., Johnson, C. R.: Topics in matrix analysis. Cambridge: Cambridge University Press, 1991.
8. Li, C.-K., Mathias, R.: An efficient algorithm for constructing matrices with prescribed singular values and eigenvalues. Manuscript, December 1997.
9. Kosowski, P., Smoktunowicz, A.: Computing a unit triangular matrix with prescribed singular values, Preprint Nr 70, Politechnika Warszawska, Instytut Matematyki, December 1997.