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

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

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

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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",

note = "Funding Information: 1Thls research was supported in part by THE ISRAEL SCIENCE FOUNDATION founded by The Israel Academy of Sciences and Humanities",

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PY - 1999

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On a new class of structured matrices

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