Geodesic
Reduction of Large Circuit Models Via Low Rank Approximate Gramians
International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 5, pp. 1151-1171.

Voir la notice de l'article provenant de la source Library of Science

We describe a model reduction algorithm which is well-suited for the reduction of large linear interconnect models. It is an orthogonal projection method which takes as the projection space the sum of the approximate dominant controllable subspace and the approximate dominant observable subspace. These approximate dominant subspaces are obtained using the Cholesky Factor ADI (CF-ADI) algorithm. We describe an improvement upon the existing implementation of CF-ADI which can result in significant savings in computational cost. We show that the new model reduction method matches moments at the negative of the CF-ADI parameters, and that it can be easily adapted to allow for DC matching, as well as for passivity preservation for multi-port RLC circuit models which come from modified nodal analysis.
Keywords: model reduction, Lyapunov equations, Cholesky-Factor ADI, moment matching, passivity
Mots-clés : algorytmy, równanie Lyapunova 
@article{IJAMCS_2001_11_5_a6,
     author = {Li, J. R. and White, J.},
     title = {Reduction of {Large} {Circuit} {Models} {Via} {Low} {Rank} {Approximate} {Gramians}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {1151--1171},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_5_a6/}
}
TY  - JOUR
AU  - Li, J. R.
AU  - White, J.
TI  - Reduction of Large Circuit Models Via Low Rank Approximate Gramians
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2001
SP  - 1151
EP  - 1171
VL  - 11
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_5_a6/
LA  - en
ID  - IJAMCS_2001_11_5_a6
ER  - 
%0 Journal Article
%A Li, J. R.
%A White, J.
%T Reduction of Large Circuit Models Via Low Rank Approximate Gramians
%J International Journal of Applied Mathematics and Computer Science
%D 2001
%P 1151-1171
%V 11
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_5_a6/
%G en
%F IJAMCS_2001_11_5_a6
Li, J. R.; White, J. Reduction of Large Circuit Models Via Low Rank Approximate Gramians. International Journal of Applied Mathematics and Computer Science, Tome 11 (2001) no. 5, pp. 1151-1171. http://geodesic.mathdoc.fr/item/IJAMCS_2001_11_5_a6/