A basic decomposition result related to the notion of the rank of a matrix and applications.
Mortici, Cristinel (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Mortici, Cristinel (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak (2013)
Czechoslovak Mathematical Journal
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Almost completely decomposable groups with a critical typeset of type and a -primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient , either no indecomposables if ; only six near isomorphism types of indecomposables if ; and indecomposables of arbitrary large rank if .
Miroslav Fiedler (2003)
Mathematica Bohemica
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We present some results on generalized inverses and their application to generalizations of the Sherman-Morrison-Woodbury-type formulae.
Wolfgang Hackbusch, Lars Grasedyck, Steffen Börm (2002)
Mathematica Bohemica
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We give a short introduction to a method for the data-sparse approximation of matrices resulting from the discretisation of non-local operators occurring in boundary integral methods or as the inverses of partial differential operators. The result of the approximation will be the so-called hierarchical matrices (or short -matrices). These matrices form a subset of the set of all matrices and have a data-sparse representation. The essential operations for these matrices (matrix-vector...
Hackbusch, Wolfgang, Grasedyck, Lars, Börm, Steffen
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Grolmusz, Vince (2000)
The Electronic Journal of Combinatorics [electronic only]
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