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.
@article{bwmeta1.element.bwnjournal-article-amcv13i4p511bwm, author = {Kaczorek, Tadeusz}, title = {Bilateral polynomial equations with unimodular right-hand-side matrices}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {13}, year = {2003}, pages = {511-514}, zbl = {1046.93017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv13i4p511bwm} }
Kaczorek, Tadeusz. Bilateral polynomial equations with unimodular right-hand-side matrices. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) pp. 511-514. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv13i4p511bwm/
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