Algorithm 590: DSUBSP and EXCHQZ: FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum

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Algorithm 590: DSUBSP and EXCHQZ: FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 8 , Issue 4 (December 1982) table of contents

Pages: 376 - 382

Year of Publication: 1982

ISSN:0098-3500

Author

P. Van Dooren

Philips Research Laboratory, Avenue Van Becelaere 2, Box 9, B-1170, Brussels, Belgium

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 20, Citation Count: 2

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appendices and supplements references cited by index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

DSUBSP and EXCHQZ (590.gz) (16 KB)

deflating subspaces with specified spectrum
Gams: D4c1b3

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	GARBOW, B.S., BOYLE, j.M., DONGARRA, J.J., AND MOLER, C.B. Matrix Eigensystem Routines-- EISPACK Guide Extension. In Lecture Notes m Computer Science, vol. 51, Springer, New York, 1977.
	2	C. L. Lawson , R. J. Hanson , F. T. Krogh , D. R. Kincaid, Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1], ACM Transactions on Mathematical Software (TOMS), v.5 n.3, p.324-325, Sept. 1979 [doi>10.1145/355841.355848]
	3	MOLER, C.B., AND STEWART, G.W All algorithm for the generalized eigenvalue problem. SIAM J. Numer. Anal. 10 (1973), 241-256.
	4	STEWART, G.W. Error and perturbation bounds for subspaces associated with certain eigenvalue problems. SIAM Rev. 15 (1973), 727-764
	5	G. W. Stewart, Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2], ACM Transactions on Mathematical Software (TOMS), v.2 n.3, p.275-280, Sept. 1976 [doi>10.1145/355694.355700]
	6	VAN DOOREN, P. The generalized eigenstructure problem m linear system theory. IEEE Trans. Automat. Contr. AC-26 {1981), 111-129.
	7	Van Dooren, P. A generahzed eigenvalue approach for solving Riccati equations. SIAM J. Star. Sc~. Comput. 2 (1981), 121-135.

CITED BY 2

	James Demmel , Bo Kågström, The generalized Schur decomposition of an arbitrary pencil A–&lgr;B—robust software with error bounds and applications. Part II: software and applications, ACM Transactions on Mathematical Software (TOMS), v.19 n.2, p.175-201, June 1993
	Daniel Kressner, Block algorithms for reordering standard and generalized Schur forms, ACM Transactions on Mathematical Software (TOMS), v.32 n.4, p.521-532, December 2006