DETERMINANTAL REPRESENTATIONS OF REAL CUBICS AND CANONICAL FORMS OF CORRESPONDING TRIPLES OF MATRICES.

Victor Vinnikov

DETERMINANTAL REPRESENTATIONS OF REAL CUBICS AND CANONICAL FORMS OF CORRESPONDING TRIPLES OF MATRICES.

Victor Vinnikov

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

Author's aim here is to give a complete classification, up to the equivalence, of self-adjoint determinantal representations of a real rational cubic. He begins by recalling some facts about real rational cubics. This paper deals with irreducible curves only. Thus 'curve', 'cubic' will mean in the sequel 'irreducible curve' 'irreducible cubic' respectively.

Original language	English
Title of host publication	Lecture Notes in Control and Information Sciences
Publisher	Springer Verlag
Pages	882-898
Number of pages	17
ISBN (Print)	354013168X
State	Published - 1 Dec 1984

Publication series

Name	Lecture Notes in Control and Information Sciences
ISSN (Print)	0170-8643

ASJC Scopus subject areas

Library and Information Sciences

Cite this

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title = "DETERMINANTAL REPRESENTATIONS OF REAL CUBICS AND CANONICAL FORMS OF CORRESPONDING TRIPLES OF MATRICES.",

abstract = "Author's aim here is to give a complete classification, up to the equivalence, of self-adjoint determinantal representations of a real rational cubic. He begins by recalling some facts about real rational cubics. This paper deals with irreducible curves only. Thus 'curve', 'cubic' will mean in the sequel 'irreducible curve' 'irreducible cubic' respectively.",

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AU - Vinnikov, Victor

PY - 1984/12/1

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N2 - Author's aim here is to give a complete classification, up to the equivalence, of self-adjoint determinantal representations of a real rational cubic. He begins by recalling some facts about real rational cubics. This paper deals with irreducible curves only. Thus 'curve', 'cubic' will mean in the sequel 'irreducible curve' 'irreducible cubic' respectively.

AB - Author's aim here is to give a complete classification, up to the equivalence, of self-adjoint determinantal representations of a real rational cubic. He begins by recalling some facts about real rational cubics. This paper deals with irreducible curves only. Thus 'curve', 'cubic' will mean in the sequel 'irreducible curve' 'irreducible cubic' respectively.

UR - https://www.scopus.com/pages/publications/0021595981

M3 - Conference contribution

AN - SCOPUS:0021595981

SN - 354013168X

T3 - Lecture Notes in Control and Information Sciences

SP - 882

EP - 898

BT - Lecture Notes in Control and Information Sciences

PB - Springer Verlag

ER -

DETERMINANTAL REPRESENTATIONS OF REAL CUBICS AND CANONICAL FORMS OF CORRESPONDING TRIPLES OF MATRICES.

Abstract

Publication series

ASJC Scopus subject areas

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