advanced-linear-algebra

Eigenvalue interlacing and Weyl's inequality

taught

Deleting a row and column interlaces a symmetric matrix's eigenvalues with the original's, and Weyl's inequality bounds how much a perturbation can move any eigenvalue -- both proved directly from Courant-Fischer.

Taught in

Eigenvalue interlacing and Weyl's inequality
Advanced Linear Algebra

Requires

the-courant-fischer-min-max-theorem required

Required by

Conditioning and the perturbation of eigenvalues required

Local knowledge map

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