Eigenvalues and Spectral Theory
Spectral theorems for symmetric, normal, and compact operators.
Eigenvalues and Spectral Theory. Spectral theorems for symmetric, normal, and compact operators. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of eigenvalues and spectral theory approach the subject from complementary angles. Horn, Matrix Analysis (2013) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Golub, Matrix Computations (2013) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.
Open methodological questions for eigenvalues and spectral theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2013Matrix Analysishorn-2013, johnson-2013
- textbook · primary · 2013Matrix Computationsgolub-2013, vanloan-2013
In context
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