A Solver for Complex-Valued Parametric Linear Systems
Popova, Evgenija; Kolev, Lyubomir; Krämer, Walter
Serdica Journal of Computing (2010)
- Volume: 4, Issue: 1, page 123-132
- ISSN: 1312-6555
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topPopova, Evgenija, Kolev, Lyubomir, and Krämer, Walter. "A Solver for Complex-Valued Parametric Linear Systems." Serdica Journal of Computing 4.1 (2010): 123-132. <http://eudml.org/doc/11381>.
@article{Popova2010,
abstract = {This work reports on a new software for solving linear systems
involving affine-linear dependencies between complex-valued interval parameters.
We discuss the implementation of a parametric residual iteration
for linear interval systems by advanced communication between the system
Mathematica and the library C-XSC supporting rigorous complex interval
arithmetic. An example of AC electrical circuit illustrates the use of the
presented software.* This work was partly supported by the DFG grant GZ: KR1612/7-1, AOBJ: 570029.},
author = {Popova, Evgenija, Kolev, Lyubomir, Krämer, Walter},
journal = {Serdica Journal of Computing},
keywords = {Parametric Linear System; Complex Intervals; Validated Interval Software; C-XSC; Mathematica; Electrical Circuits; parametric linear system; complex intervals; validated interval software; Mathematica; electrical circuits; residual iteration; interval arithmetic},
language = {eng},
number = {1},
pages = {123-132},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Solver for Complex-Valued Parametric Linear Systems},
url = {http://eudml.org/doc/11381},
volume = {4},
year = {2010},
}
TY - JOUR
AU - Popova, Evgenija
AU - Kolev, Lyubomir
AU - Krämer, Walter
TI - A Solver for Complex-Valued Parametric Linear Systems
JO - Serdica Journal of Computing
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 4
IS - 1
SP - 123
EP - 132
AB - This work reports on a new software for solving linear systems
involving affine-linear dependencies between complex-valued interval parameters.
We discuss the implementation of a parametric residual iteration
for linear interval systems by advanced communication between the system
Mathematica and the library C-XSC supporting rigorous complex interval
arithmetic. An example of AC electrical circuit illustrates the use of the
presented software.* This work was partly supported by the DFG grant GZ: KR1612/7-1, AOBJ: 570029.
LA - eng
KW - Parametric Linear System; Complex Intervals; Validated Interval Software; C-XSC; Mathematica; Electrical Circuits; parametric linear system; complex intervals; validated interval software; Mathematica; electrical circuits; residual iteration; interval arithmetic
UR - http://eudml.org/doc/11381
ER -
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