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Solution of generalized linear vector equations in idempotent algebra. / Krivulin, N. K.

In: Vestnik St. Petersburg University: Mathematics, Vol. 39, No. 1, 01.2006, p. 16-26.

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Harvard

Krivulin, NK 2006, 'Solution of generalized linear vector equations in idempotent algebra', Vestnik St. Petersburg University: Mathematics, vol. 39, no. 1, pp. 16-26.

APA

Krivulin, N. K. (2006). Solution of generalized linear vector equations in idempotent algebra. Vestnik St. Petersburg University: Mathematics, 39(1), 16-26.

Vancouver

Krivulin NK. Solution of generalized linear vector equations in idempotent algebra. Vestnik St. Petersburg University: Mathematics. 2006 Jan;39(1):16-26.

Author

Krivulin, N. K. / Solution of generalized linear vector equations in idempotent algebra. In: Vestnik St. Petersburg University: Mathematics. 2006 ; Vol. 39, No. 1. pp. 16-26.

BibTeX

@article{0b9bce3a38d14bd9868bc776e227df6b,
title = "Solution of generalized linear vector equations in idempotent algebra",
abstract = "The problem on the solutions of homogeneous and nonhomogeneous generalized linear vector equations in idempotent algebra is considered. For the study of equations, an idempotent analog of matrix determinant is introduced and its properties are investigated. In the case of irreducible matrix, existence conditions are found and the general solutions of equations are obtained. The results are extended to the case of arbitrary matrix. As a consequence the solutions of homogeneous and nonhomogeneous inequalities are presented.",
author = "Krivulin, {N. K.}",
year = "2006",
month = jan,
language = "English",
volume = "39",
pages = "16--26",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Solution of generalized linear vector equations in idempotent algebra

AU - Krivulin, N. K.

PY - 2006/1

Y1 - 2006/1

N2 - The problem on the solutions of homogeneous and nonhomogeneous generalized linear vector equations in idempotent algebra is considered. For the study of equations, an idempotent analog of matrix determinant is introduced and its properties are investigated. In the case of irreducible matrix, existence conditions are found and the general solutions of equations are obtained. The results are extended to the case of arbitrary matrix. As a consequence the solutions of homogeneous and nonhomogeneous inequalities are presented.

AB - The problem on the solutions of homogeneous and nonhomogeneous generalized linear vector equations in idempotent algebra is considered. For the study of equations, an idempotent analog of matrix determinant is introduced and its properties are investigated. In the case of irreducible matrix, existence conditions are found and the general solutions of equations are obtained. The results are extended to the case of arbitrary matrix. As a consequence the solutions of homogeneous and nonhomogeneous inequalities are presented.

M3 - Article

VL - 39

SP - 16

EP - 26

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 5305048