Partial inverse of a matrix

== Definition == In linear algebra and statistics, the partial inverse of a matrix is an operation related to Gaussian elimination which has applications in numerical analysis, statistics and physics. It is also known by various authors as the principal pivot transform, or as the sweep, gyration, or exchange operator, represented by i n v k {\displaystyle \mathrm {inv} _{k}} if restricted to blocks along the main diagonal, or by Y ^ k ℓ {\displaystyle {\hat {Y}}_{k\ell }} if considering the general case of any arbitrary block from the matrix.

Source: Wikipedia — Partial inverse of a matrix (CC BY-SA 4.0)

Partial inverse of a matrix

== Definition == In linear algebra and statistics, the partial inverse of a matrix is an operation related to Gaussian elimination which has applications in numerical analysis, statistics and physics. It is also known by various authors as the principal pivot transform, or as the sweep, gyration, or exchange operator, represented by i n v k {\displaystyle \mathrm {inv} _{k}} if restricted to blocks along the main diagonal, or by Y ^ k ℓ {\displaystyle {\hat {Y}}_{k\ell }} if considering the general case of any arbitrary block from the matrix.

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Source: Wikipedia "Partial inverse of a matrix" · CC BY-SA 4.0

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