Generalizing Cramer's Rule: Solving Uniformly Linear Systems of Equations

Authors:
Gema M. Diaz-Toca;Laureano Gonzalez-Vega;Henri Lombardi
Affiliations:
-;-;-
Venue:
SIAM Journal on Matrix Analysis and Applications
Year:
2005

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Cited 1

A note on secure computation of the moore-penrose pseudoinverse and its application to secure linear algebra

CRYPTO'07 Proceedings of the 27th annual international cryptology conference on Advances in cryptology

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Abstract

Following Mulmuley's lemma, this paper presents a generalization of the Moore--Penrose inverse for a matrix over an arbitrary field. This generalization yields a way to uniformly solve linear systems of equations which depend on some parameters.