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AN ESTIMATE OF EIGENVALUES IN THE SYMMETRIC QR ALGORITHM

AN ESTIMATE OF EIGENVALUES IN THE SYMMETRIC QR ALGORITHM*
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摘要 The estimate of the eigenvalues is given when the off-diagonal elements in symmetric tridiagonal matrix are replaced by zero. The result can be applied to QR or QL algorithm. It is a generalization of Jiang’ s result in 1987. This estimate is sharper than Hager’s result in 1982 and could not The estimate of the eigenvalues is given when the off-diagonal elements in symmetric tridiagonal matrix are replaced by zero. The result cm be applied to QR or QL algorithm. It is a generalization of Jiang's result in 1987. This estimate is sharper than Eager's result in 1982 and could not fail.
关键词 PERTURBATION of EIGENVALUE SYMMETRIC tridiagonol MATRIX EIGENVALUE problem. Perturbation of eigenvalue, symmetric tridiagonol matrix, eigenvalue problem.
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