(Q43219517)

English

Moore–Penrose inverse

given a matrix A, the unique matrix B such that ABA = A, BAB = B, and that AB and BA are both Hermitian

Moore–Penrose pseudoinverse
pseudoinverse

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Eliakim Hastings Moore

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Roger Penrose

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discoverer or inventor

Eliakim Hastings Moore

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time of discovery or invention

1920

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defining formula

{\begin{aligned}AA^{+}A&=A\\A^{+}AA^{+}&=A^{+}\\(AA^{+})^{*}&=AA^{+}\\(A^{+}A)^{*}&=A^{+}A\end{aligned}}

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Freebase ID

/m/01wym8

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MathWorld ID

Moore-PenroseMatrixInverse

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

PlanetMath ID

MoorePenroseGeneralizedInverse

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(Q43219517)

Moore–Penrose inverse

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