A spectrum theorem for perturbed bounded linear operators

Applied Mathematics and Computation

Volumn 201, Issue 1-2, 2008, Pages 723-728

  Ding, Jiu ^a   Zhou, Aihui ^b  

^a University of Southern Mississippi   (United States)

^b INSTITUTE OF COMPUTATIONAL MATHEMATICS AND SCIENTIFIC ENGINEERING COMPUTING   (China)

Author keywords

Banach space; Bounded linear operator; Generalized Sherman Morrison Woodbury formula; Perturbation; Spectrum

Indexed keywords

BRANCH AND BOUND METHOD; LINEAR EQUATIONS; PERTURBATION TECHNIQUES; SPECTRUM ANALYSIS; THEOREM PROVING;

BOUNDED LINEAR OPERATORS; GENERALIZED SHERMAN-MORRISON-WOODBURY FORMULA; SPECTRUM THEOREM;

BANACH SPACES;

EID: 44649089454     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.01.008     Document Type: Article

References (7)

1. Ding J., and Yao G. Eigenvalues of updated matrices. Appl. Math. Comput. 185 (2007) 415-420
2. Ding J., and Zhou A. Eigenvalues of rank-one updated matrices with some applications. Appl. Math. Lett. 20 (2007) 1223-1226
3. Ding J., and Zhou A. Characteristic polynomials of some perturbed matrices. Appl. Math. Comput 199 (2008) 631-636
4. L. Eldén, A note on the eigenvalues of the Google matrix, Report LiTH-MAT-R-04-01, 2003.
5. T.H. Haveliwala, S.D. Kamvar, The second eigenvalue of the Google matrix, Technical Report, Computer Science Department, Stanford University, 2003.
6. Horn R.A., and Johnson C.R. Matrix Analysis (1985), Cambridge University Press, Cambridge
7. Langville A.N., and Meyer C.D. A survey of eigenvector methods for web information retrieval. SIAM Rev. 47 (2005) 135-161