A bound for the matrix square root with application to eigenvector perturbation

SIAM Journal on Matrix Analysis and Applications

Volumn 18, Issue 4, 1997, Pages 861-867

  Mathias, Roy ^a  

^a The College of William and Mary   (United States)

Author keywords

Eigenvector perturbation; Hadamard product; Matrix square root

Indexed keywords

EID: 0031520185     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S5089547989529577     Document Type: Article

References (7)

1. E. B. DAVIES, Lipschitz continuity of functions of operators in the Schatten classes, J. London Math. Soc., 37 (1988), pp. 148-157.
2. S. EISENSTAT, personal communication, 1996.
3. S. C. EISENSTAT AND I. C. F. IPSEN, Relative perturbation techniques for singular value problems, SIAM J. Numer. Anal., 32 (1995), pp. 1972-1988.
4. R. A. HORN AND C. R. JOHNSON, Topics in Matrix Analysis, Cambridge University Press, New York, London, 1991.
5. R. MATHIAS, The Hadamard operator norm of a circulant and applications, SIAM J. Matrix Anal. Appl., 14 (1992), pp. 1152-1167.
6. R. MATHIAS, Matrix completions, Hadamard products and norms, Proc. Amer. Math. Soc., 117 (1993), pp. 905-918.
7. R. MATHIAS AND K. VESELIĆ, A relative perturbation bound for positive definite matrices, Linear Algebra Appl., to appear.