Titlebook: Matrix Analysis; Rajendra Bhatia Textbook 1997 Springer-Verlag Berlin Heidelberg 1997 algebra.approximation.calculus.Eigenvalue.exponentia

笔记

书目名称Matrix Analysis影响因子(影响力)




书目名称Matrix Analysis影响因子(影响力)学科排名




书目名称Matrix Analysis网络公开度




书目名称Matrix Analysis网络公开度学科排名




书目名称Matrix Analysis被引频次




书目名称Matrix Analysis被引频次学科排名




书目名称Matrix Analysis年度引用




书目名称Matrix Analysis年度引用学科排名




书目名称Matrix Analysis读者反馈




书目名称Matrix Analysis读者反馈学科排名

昆虫

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

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

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

倔强不能

ineffectual

CLAMP

978-1-4612-6857-4Springer-Verlag Berlin Heidelberg 1997

恶意

Matrix Analysis978-1-4612-0653-8Series ISSN 0072-5285 Series E-ISSN 2197-5612

Subjugate

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