How to transform matrices U
            1,...,U
            p to matrices V
            1,...,V
            p so that V
            iV
            T
            j=O if i≠j?

Vladimir Ejov; Anatoli Torokhti

doi:10.3934/naco.2012.2.293

How to transform matrices U ₁,...,U _p to matrices V ₁,...,V _p so that V _iV ^T _j=O if i≠j?

Vladimir Ejov, Anatoli Torokhti

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Methods of a transformation of matrices U₁,...,U_p to matrices V₁,...,V_p are proposed so that V_iV^T _j=O for i≠j and i,j=1,...,p. We consider unconstrained and constrained problems associated with such a transformation. Solutions of the both problems are provided.

Original language	English
Pages (from-to)	293-299
Number of pages	7
Journal	Numerical Algebra, Control and Optimization
Volume	2
Issue number	2
DOIs	https://doi.org/10.3934/naco.2012.2.293
Publication status	Published - Jun 2012

Keywords

Generalized inverse
Matrix approximations
Singular value decomposition

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10.3934/naco.2012.2.293

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title = "How to transform matrices U 1,...,U p to matrices V 1,...,V p so that V iV T j=O if i≠j?",

abstract = "Methods of a transformation of matrices U1,...,Up to matrices V1,...,Vp are proposed so that ViVT j=O for i≠j and i,j=1,...,p. We consider unconstrained and constrained problems associated with such a transformation. Solutions of the both problems are provided.",

keywords = "Generalized inverse, Matrix approximations, Singular value decomposition",

author = "Vladimir Ejov and Anatoli Torokhti",

year = "2012",

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doi = "10.3934/naco.2012.2.293",

language = "English",

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publisher = "American Institute of Mathematical Sciences",

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AU - Ejov, Vladimir

AU - Torokhti, Anatoli

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Y1 - 2012/6

N2 - Methods of a transformation of matrices U1,...,Up to matrices V1,...,Vp are proposed so that ViVT j=O for i≠j and i,j=1,...,p. We consider unconstrained and constrained problems associated with such a transformation. Solutions of the both problems are provided.

AB - Methods of a transformation of matrices U1,...,Up to matrices V1,...,Vp are proposed so that ViVT j=O for i≠j and i,j=1,...,p. We consider unconstrained and constrained problems associated with such a transformation. Solutions of the both problems are provided.

KW - Generalized inverse

KW - Matrix approximations

KW - Singular value decomposition

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U2 - 10.3934/naco.2012.2.293

DO - 10.3934/naco.2012.2.293

M3 - Article

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VL - 2

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EP - 299

JO - Numerical Algebra, Control and Optimization

JF - Numerical Algebra, Control and Optimization

IS - 2

ER -

How to transform matrices U ₁,...,U _p to matrices V ₁,...,V _p so that V _iV ^T _j=O if i≠j?

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