Structured matrices and inverses

Abstract : A matrix (and any associated linear system) will be referred to as structured if it has a small displacement rank. It is known that the inverse of a structured matrix is structured, which allows fast inversion (or solution), and reduced storage requirements. According to two definitions of displacement structure of practical interest, it is shown here that several types of inverses are also structured, including the Moore-Penrose inverse of rank-deficient matrices.
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Chapitre d'ouvrage
A. Bojanczyk and G. Cybenko. Linear algebra for signal processing, Springer verlag, pp.1--16, 1995, IMA volumes in mathematics and its applications
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  • HAL Id : hal-00169588, version 1
  • ARXIV : 0803.2371

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Pierre Comon. Structured matrices and inverses. A. Bojanczyk and G. Cybenko. Linear algebra for signal processing, Springer verlag, pp.1--16, 1995, IMA volumes in mathematics and its applications. <hal-00169588>

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