Rational matrix functions and rank-1 updates

SIAM Journal on Matrix Analysis and Applications

Volumn 22, Issue 1, 2000, Pages 145-154

  Bernstein, Daniel S ^a   Van Loan, Charles F ^b  

^a Biologically Inspired Neural and Dynamical Systems Laboratory   (United States)

^b Department of Computer Science and School of Operations Research and Information Engineering   (United States)

Author keywords

Matrix functions; Sherman Morrison

Indexed keywords

EID: 0034353669     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479898333636     Document Type: Review

References (5)

1. M. BENZI AND G.H. GOLUB, Bounds for the entries of matrix functions with applications to preconditioning, BIT, 39 (1999), pp. 417-438.
2. G.H. GOLUB AND C.F. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1997.
3. C.S. KENNEY AND A.J. LAUB, Condition estimates for matrix functions, SIAM J. Matrix Anal. Appl., 10 (1989), pp. 191-209.
4. R.I. JENNRICH AND P.B. BRIGHT, Fitting systems of linear differential equations using computer generated exact derivatives, Technometrics, 18 (1976), pp. 385-392.
5. L. LJUNG, System Identification - Theory for the User, Prentice-Hall, Englewood Cliffs. NJ, 1984.