Spectral decomposition is any of several things:
* Spectral decomposition for matrix:
eigendecomposition of a matrix
In linear algebra, eigendecomposition is the Matrix factorization, factorization of a matrix (mathematics), matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors. Only diagonalizable matrix, di ...
* Spectral decomposition for linear operator:
spectral theorem
*
Decomposition of spectrum (functional analysis)
The spectrum of a linear operator T that operates on a Banach space X (a fundamental concept of functional analysis) consists of all scalars \lambda such that the operator T-\lambda does not have a bounded inverse on X. The spectrum has a standar ...
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