On a new class of structured matrices

Y. Eidelman; I. Gohberg

doi:10.1007/BF01300581

On a new class of structured matrices

Y. Eidelman^*, I. Gohberg

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

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

125 Scopus citations

Abstract

In this paper we continue the study of structured matrices which admit a linear complexity inversion algorithm. The new class which is studied here appears naturally as the class of matrices of input output operators for discrete time dependent descriptor linear systems. The algebra of such operators is analyzed. Multiplication and inversion algorithms of linear complexity are presented and their implementation is illustrated.

Original language	English
Pages (from-to)	293-324
Number of pages	32
Journal	Integral Equations and Operator Theory
Volume	34
Issue number	3
DOIs	https://doi.org/10.1007/BF01300581
State	Published - 1999

Funding

Funders	Funder number
Israel Academy of Sciences and Humanities

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10.1007/BF01300581

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title = "On a new class of structured matrices",

abstract = "In this paper we continue the study of structured matrices which admit a linear complexity inversion algorithm. The new class which is studied here appears naturally as the class of matrices of input output operators for discrete time dependent descriptor linear systems. The algebra of such operators is analyzed. Multiplication and inversion algorithms of linear complexity are presented and their implementation is illustrated.",

author = "Y. Eidelman and I. Gohberg",

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PY - 1999

Y1 - 1999

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AB - In this paper we continue the study of structured matrices which admit a linear complexity inversion algorithm. The new class which is studied here appears naturally as the class of matrices of input output operators for discrete time dependent descriptor linear systems. The algebra of such operators is analyzed. Multiplication and inversion algorithms of linear complexity are presented and their implementation is illustrated.

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JO - Integral Equations and Operator Theory

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On a new class of structured matrices

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