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… (More)
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Related topics

Related topics

27 relations
Array programmingBlock matrix pseudoinverseCholesky decompositionCirculant matrix
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Broader (2)

Numerical linear algebraSingular value decomposition

Papers overview

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2017
2017
STACKED REGRESSION WITH A GENERALIZATION OF THE MOORE-PENROSE PSEUDOINVERSE
In practice, it often happens that there are a number of classification methods. We are not able to clearly determine which… (More)
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2017
2017
Different-level time-varying quadratic minimization using Zhang equivalency and Moore-Penrose pseudoinverse
Quadratic minimization (QM) has been investigated for many years, which is generally supposed to be time-invariant and at the… (More)
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2017
2017
Beyond Moore-Penrose Part II: The Sparse Pseudoinverse
This is the second part of a two-paper series on norm-minimizing generalized inverses. In Part II we focus on generalized… (More)
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2013
2013
Beyond Moore-Penrose: Sparse pseudoinverse
Frequently, we use the Moore-Penrose pseudoinverse (MPP) even in cases when we do not require all of its defining properties. But… (More)
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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… (More)
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2007
2007
A Note on Secure Computation of the Moore-Penrose Pseudoinverse and Its Application to Secure Linear Algebra
This work deals with the communication complexity of secure multi-party protocols for linear algebra problems. In our model… (More)
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Highly Cited
2005
Highly Cited
2005
Fast Computation of Moore-Penrose Inverse Matrices
Many neural learning algorithms require to solve large least square systems in order to obtain synaptic weights. Moore-Penrose… (More)
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2000
2000
The Moore-Penrose Generalized Inverse for Sums of Matrices
In this paper we exhibit, under suitable conditions, a neat relationship between the Moore–Penrose generalized inverse of a sum… (More)
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Review
1983
Review
1983
Review of pseudoinverse control for use with kinematically redundant manipulators
Kinematically redundant manipulators have a number of potential advantages over current manipulator designs. For this type of arm… (More)
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Highly Cited
1979
Highly Cited
1979
ACCELERATED PROJECTION METHODS FOR COMPUTING PSEUDOINVERSE SOLUTIONS OF SYSTEMS OF LINEAR EQUATIONS
Iterative methods are developed for computing the Moore-Penrose pseudoinverse solution of a linear system Ax b, where A is an m x… (More)
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