Spectral decomposition

Spectral decomposition is any of several things. ^[1]

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Table of Contents

1. 3 relations: Decomposition of spectrum (functional analysis), Eigendecomposition of a matrix, Spectral theorem.

Decomposition of spectrum (functional analysis)

The spectrum of a linear operator T that operates on a Banach space X is a fundamental concept of functional analysis.

See Spectral decomposition and Decomposition of spectrum (functional analysis)

Eigendecomposition of a matrix

In linear algebra, eigendecomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors.

See Spectral decomposition and Eigendecomposition of a matrix

Spectral theorem

In mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis).

See Spectral decomposition and Spectral theorem

References

[1] https://en.wikipedia.org/wiki/Spectral_decomposition

Also known as Spectral decomposition (disambiguation).

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