Bounds for eigenvalues of symmetric block Jacobi scaled matrices
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Abstract
The paper presents upper bounds for the largest eigenvalue of a block Jacobi scaled symmetric positive-definite matrix which depend only on such parameters as the block semibandwidth of a matrix and its block size. From these bounds we also derive upper bounds for the smallest eigenvalue of a symmetric matrix with identity diagonal blocks. Bibliography: 4 titles.
Keywords
Block Size Symmetric Matrix Large Eigenvalue Small Eigenvalue Diagonal Block
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Literature Cited
- 1.O. Axelsson and L. Kolotilina, “Diagonally compensated reduction and related preconditioning methods,” Catholic Univ. Nijmegen, Dept. of Mathematics, Rept. 9117, Aug. 1991 (to appear inNumer. Linear Alg. Appl.).Google Scholar
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- 4.V. V. Voevodin and Yu. A. Kuznetsov,Matrices and Computation [in Russian], Moscow (1984).Google Scholar
Copyright information
© Plenum Publishing Corporation 1996