noun
spectral decomposition; spectral resolution
Technical term in linear algebra and functional analysis, referring to the decomposition of a linear operator or matrix into its spectral components (eigenvalues/eigenvectors).
対称行列はスペクトル分解によって対角化できる。
A symmetric matrix can be diagonalized by spectral decomposition.
スペクトル分解は量子力学の演算子解析でよく使われる。
Spectral decomposition is often used in operator analysis in quantum mechanics.