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Moore–Penrose pseudoinverse

Known as: Moore-penrose generalized inverse, Moore-Penrose matrix inverse, Moore–Penrose inverse 
In mathematics, and in particular linear algebra, a pseudoinverse A+ of a matrix A is a generalization of the inverse matrix. The most widely known… 
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Related topics

Related topics

28 relations
Array programmingBlock matrix pseudoinverseCholesky decompositionCirculant matrix

Broader (2)

Numerical linear algebraSingular value decomposition

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Linear discriminant analysis with a generalization of the Moore–Penrose pseudoinverse
The Linear Discriminant Analysis (LDA) technique is an important and well-developed area of classification, and to date many… 
2011
2011
Optimal liquidation in dark pools in discrete and continuous time
In recent years there has been an increasing interest in financial market models that account for the impact of large… 
Highly Cited
2008
Highly Cited
2008
Multi-step ahead nonlinear identification of Lorenz’s chaotic system using radial basis neural network with learning by clustering and particle swarm optimization
2007
2007
A Constrained Maximum-SINR NBI-Resistant Receiver for OFDM Systems
In this paper, with reference to the problem of joint equalization and narrowband interference (NBI) suppression in orthogonal… 
2006
2006
A closed form solution for constant flux pumping in a well under partial penetration condition
An analytical model for the constant flux pumping test is developed in a radial confined aquifer system with a partially… 
2006
2006
An improved Newton iteration for the weighted Moore-Penrose inverse
Highly Cited
2004
Highly Cited
2004
Performance analysis of minimum /spl lscr//sub 1/-norm solutions for underdetermined source separation
Results of the analysis of the performance of minimum /spl lscr//sub 1/-norm solutions in underdetermined blind source separation… 
Highly Cited
2004
Highly Cited
2004
Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products
Highly Cited
2004
Highly Cited
2004
The representation and approximations of outer generalized inverses
We present a unified representation theorem for the class of all outer generalized inverses of a bounded linear operator. Using… 
Highly Cited
1986
Highly Cited
1986
Report on test matrices for generalized inverses
This paper is a comprehensive report on test matrices for the generalized inversion of matrices. Two principles are described how… 
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