advanced-linear-algebra

The Courant-Fischer min-max theorem

taught

Every eigenvalue in between the extremes, not just $\lambda_{\max}$ and $\lambda_{\min}$, has its own min-max characterization over subspaces of the matching dimension.

Taught in

The Courant-Fischer min-max theorem
Advanced Linear Algebra

Requires

rayleigh-ritz-and-the-extreme-eigenvalues required

Required by

Constrained quadratic optimization and the generalized eigenvalue problem required
Eigenvalue interlacing and Weyl's inequality required

Local knowledge map

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