×

zbMATH — the first resource for mathematics

Generalized algebraic complement and Moore-Penrose inverse. (English) Zbl 0826.15003
New proofs are given for the well-known determinant representation of the Moore-Penrose inverse of a complex matrix and the Moore-Penrose solution of a linear system. The first result is generalized to the \(\{1,2,3\}\), \(\{1,2,4\}\) and \(\{1,2\}\) inverses, respectively.
Reviewer: L.Berg (Rostock)

MSC:
15A09 Theory of matrix inversion and generalized inverses
15A06 Linear equations (linear algebraic aspects)
65F20 Numerical solutions to overdetermined systems, pseudoinverses
PDF BibTeX XML Cite