A fixed point method to compute solvents of matrix polynomials

Fernando Marcos; Edgar Pereira

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 4, page 355-362
  • ISSN: 0862-7959

Abstract

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Matrix polynomials play an important role in the theory of matrix differential equations. We develop a fixed point method to compute solutions of matrix polynomials equations, where the matricial elements of the matrix polynomial are considered separately as complex polynomials. Numerical examples illustrate the method presented.

How to cite

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Marcos, Fernando, and Pereira, Edgar. "A fixed point method to compute solvents of matrix polynomials." Mathematica Bohemica 135.4 (2010): 355-362. <http://eudml.org/doc/196342>.

@article{Marcos2010,
abstract = {Matrix polynomials play an important role in the theory of matrix differential equations. We develop a fixed point method to compute solutions of matrix polynomials equations, where the matricial elements of the matrix polynomial are considered separately as complex polynomials. Numerical examples illustrate the method presented.},
author = {Marcos, Fernando, Pereira, Edgar},
journal = {Mathematica Bohemica},
keywords = {fixed point method; matrix polynomial; matrix differential equation; fixed point method; matrix polynomial; matrix differential equation; numerical examples},
language = {eng},
number = {4},
pages = {355-362},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A fixed point method to compute solvents of matrix polynomials},
url = {http://eudml.org/doc/196342},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Marcos, Fernando
AU - Pereira, Edgar
TI - A fixed point method to compute solvents of matrix polynomials
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 4
SP - 355
EP - 362
AB - Matrix polynomials play an important role in the theory of matrix differential equations. We develop a fixed point method to compute solutions of matrix polynomials equations, where the matricial elements of the matrix polynomial are considered separately as complex polynomials. Numerical examples illustrate the method presented.
LA - eng
KW - fixed point method; matrix polynomial; matrix differential equation; fixed point method; matrix polynomial; matrix differential equation; numerical examples
UR - http://eudml.org/doc/196342
ER -

References

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