The Matrix Linear Unilateral and Bilateral Equations with Two Variables over Commutative Rings

Joint Authors

Dzhaliuk, N. S.
Petrychkovych, V. M.

Source

ISRN Algebra

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-05-08

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

The method of solving matrix linear equations AX+BY=C and AX+YB=C over commutative Bezout domains by means of standard form of a pair of matrices with respect to generalized equivalence is proposed.

The formulas of general solutions of such equations are deduced.

The criterions of uniqueness of particular solutions of such matrix equations are established.

American Psychological Association (APA)

Dzhaliuk, N. S.& Petrychkovych, V. M.. 2012. The Matrix Linear Unilateral and Bilateral Equations with Two Variables over Commutative Rings. ISRN Algebra،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-454353

Modern Language Association (MLA)

Dzhaliuk, N. S.& Petrychkovych, V. M.. The Matrix Linear Unilateral and Bilateral Equations with Two Variables over Commutative Rings. ISRN Algebra No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-454353

American Medical Association (AMA)

Dzhaliuk, N. S.& Petrychkovych, V. M.. The Matrix Linear Unilateral and Bilateral Equations with Two Variables over Commutative Rings. ISRN Algebra. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-454353

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-454353