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Perturbation of Spectral Subspaces of Normal Matrices,their eigenvectors remain stubbornly apart. Note, however, that the . that these two eigenvectors of . and . span are identical. In this chapter we will see that interesting and useful perturbation bounds may be obtained for eigenspaces corresponding to closely bunched eigenvalues of normal matrices.INTER 发表于 2025-3-22 02:33:32
Spectral Variation of Normal Matrices,orem: if . are two Hermitian matrices, then..In turn, this inequality is a special case of the inequality (IV.62), which says that if Eig↓ (.) denotes the diagonal matrix with entries λ↓. (.) down its diagonal, then we have for all Hermitian matrices . and for all unitarily invariant norms.Invigorate 发表于 2025-3-22 06:58:30
Spectral Variation of Nonnormal Matrices,quality .(σ(.), σ(.)) ≤ 3|| .|| (Theorem VII.4.1). If one of the matrices . is Hermitian and the other is arbitrary, then we can only have an inequality of the form .(σ(.), σ(.)) ≤ .)||. — B||, where .) is a constant that grows like log . (Problems VI.8.8 and VI.8.9).Strength 发表于 2025-3-22 11:29:00
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978-1-4612-6857-4Springer-Verlag Berlin Heidelberg 1997恶意 发表于 2025-3-23 03:16:53
Matrix Analysis978-1-4612-0653-8Series ISSN 0072-5285 Series E-ISSN 2197-5612Subjugate 发表于 2025-3-23 06:52:06
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