On eigen and singular value clusters

Calcolo

Volumn 33, Issue 1, 1996, Pages 71-78

  Tyrtyshnikov, E E ^a   Zamarashkin, N L ^a  

^a INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC APPROACHES; EIGEN-VALUE; POINT CLUSTERS; SINGULAR VALUES;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0029715482     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02575708     Document Type: Article

References (9)

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2. S. V. PARTER, On the distribution of the singular values of Toeplitz matrices, Linear Algebra Appl. 80, (1986) 115-130.
3. R. CHAN, G. STRANG, Toeplitz equations by conjugate gradients with circulant preconditioners, SIAM J. Sci. Stat. Comput. 10, (1989) 104-119.
4. G. W. STEWART, J. SUN, Matrix Perturbation Theory, Academic Press, Inc., 1990.
5. V. V. STRELA, E. E. TYRTYSHNIKOV, Which circulant preconditioner is better? Math. Comput. 65 (213), (1996) 137-150.
6. E. E. TYRTYSHNIKOV, Distributions and clusters, Matrix methods and algorithms, INM RAS, 1993, 124-167. (In Russian.)
7. E. E. TYRTYSHNIKOV, Influence of matrix operations on the distribution of eigenvalues and singular values of Toeplitz matrices, Linear Algebra Appl. 216, (1994) 1-23.
8. E. E. TYRTYSHNIKOV, Circulant preconditioners with unbounded inverses, Linear Algebra Appl. 216, (1995) 1-23.
9. E. E. TYRTYSHNIKOV, Singular values of Cauchy-Toeplitz matrices, Linear Algebra Appl. 161, (1992) 99-116.