# Bilateral polynomial equations with unimodular right-hand-side matrices

International Journal of Applied Mathematics and Computer Science (2003)

- Volume: 13, Issue: 4, page 511-514
- ISSN: 1641-876X

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topKaczorek, Tadeusz. "Bilateral polynomial equations with unimodular right-hand-side matrices." International Journal of Applied Mathematics and Computer Science 13.4 (2003): 511-514. <http://eudml.org/doc/207663>.

@article{Kaczorek2003,

abstract = {Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.},

author = {Kaczorek, Tadeusz},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {bilateral; unimodular procedure; solution; polynomial equation; bilateral polynomial equation; controllability; observability; existence of a solution; computation},

language = {eng},

number = {4},

pages = {511-514},

title = {Bilateral polynomial equations with unimodular right-hand-side matrices},

url = {http://eudml.org/doc/207663},

volume = {13},

year = {2003},

}

TY - JOUR

AU - Kaczorek, Tadeusz

TI - Bilateral polynomial equations with unimodular right-hand-side matrices

JO - International Journal of Applied Mathematics and Computer Science

PY - 2003

VL - 13

IS - 4

SP - 511

EP - 514

AB - Necessary and sufficient conditions are established for the existence of a solution to some bilateral polynomial matrix equations with unimodular right-hand-side matrices. A procedure for the computation of the solution is derived and illustrated by a numerical example. Two examples of applications of bilateral polynomial matrix equations are presented.

LA - eng

KW - bilateral; unimodular procedure; solution; polynomial equation; bilateral polynomial equation; controllability; observability; existence of a solution; computation

UR - http://eudml.org/doc/207663

ER -

## References

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- Kaczorek T. (2003): Relationship between infinite eigenvalue assignment for singular systems and solvability of polynomial matrix equations. -Proc. 11th Mediterranean Conf. Control and Automation MED'03, Rhodes, Greece, (on CD-ROM). Zbl1049.34005
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