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IMA Journal of Numerical Analysis

Volumn 17, Issue 3, 1997, Pages 329-342

An algorithm for computing the numerical radius

(2) He, Chunyang a Watson, G A b

a UNIVERSITY OF KANSAS (United States)

b UNIVERSITY OF DUNDEE (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; NUMERICAL METHODS;

GENERALIZED EIGENVALUE PROBLEMS; HERMITIAN MATRICES; ITERATION PROCEDURE; ITERATIVE PROCESS; LOWER AND UPPER BOUNDS; NUMERICAL RADIUS; NUMERICAL RESULTS; OPTIMIZATION PROBLEMS;

ITERATIVE METHODS;

EID: 0031504492 PISSN: 02724979 EISSN: None Source Type: Journal
DOI: 10.1093/imanum/17.3.329 Document Type: Article

Times cited : (28)

References (10)

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- (1993) Report 9308
- Axelsson, O.¹ Lu, H.² Polman, B.³

2
- 0040944199
- Computing the field of values and pseudospectra using the Lanczos method with continuation
- Manchester University; to appear in BIT
- BRACONNIER, T., & HIGHAM, N. J. 1995 Computing the field of values and pseudospectra using the Lanczos method with continuation. Numerical Analysis Report No 279, Manchester University; to appear in BIT.
- (1995) Numerical Analysis Report No 279
- Braconnier, T.¹ Higham, N.J.²

3
- 0001659028
- A bisection method for measuring the distance of a stable matrix to the unstable matrices
- BYERS, R. 1988 A bisection method for measuring the distance of a stable matrix to the unstable matrices. SIAM J. Sci. Stat. Comput. 9, 875-881.
- (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 875-881
- Byers, R.¹

4
- 0003952516
- Cambridge: Cambridge University Press
- HORN, R. A., & JOHNSON, C. R. 1991 Topics in Matrix Analysis. Cambridge: Cambridge University Press.
- (1991) Topics in Matrix Analysis
- Horn, R.A.¹ Johnson, C.R.²

5
- 0003668665
- Englewood Cliffs, NJ: Prentice-Hall
- PARLETT, B. N. 1980 The Symmetric Eigenvalue Problem. Englewood Cliffs, NJ: Prentice-Hall.
- (1980) The Symmetric Eigenvalue Problem
- Parlett, B.N.¹

6
- 84968486060
- On estimating the largest eigenvalue with the Lanczos algorithm
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- (1982) Math. Comput. , vol.38 , pp. 153-165
- Parlett, B.N.¹ Simon, H.² Stringer, L.M.³

7
- 0004245243
- Boston: Academic
- STEWART, G. W., & SUN, J.-G. 1990 Matrix Perturbation Theory. Boston: Academic.
- (1990) Matrix Perturbation Theory
- Stewart, G.W.¹ Sun, J.-G.²

8
- 0000992781
- Pseudospectra of matrices
- (D. F. Griffiths and G. A. Watson, eds). Harlow: Longman
- TREFETHEN, L. N. 1992 Pseudospectra of matrices. Numerical Analysis 1991 (Pitman Research Notes in Mathematics 260) (D. F. Griffiths and G. A. Watson, eds). Harlow: Longman.
- (1992) Numerical Analysis 1991 (Pitman Research Notes in Mathematics 260)
- Trefethen, L.N.¹

9
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- Computing the numerical radius
- WATSON, G. A. 1996 Computing the numerical radius. Linear Alg. Appl. 234, 163-172.
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10
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