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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Existence for a matrix equation
arising in microelectronics


Author: Jonq Juang
Journal: Proc. Amer. Math. Soc. 124 (1996), 3477-3480
MSC (1991): Primary 78A25, 15A24
DOI: https://doi.org/10.1090/S0002-9939-96-03499-5
MathSciNet review: 1343703
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Abstract: In this paper we rigorously show the existence of solutions of a matrix equation which arises in the design of micro electronical circuits. This equation was studied by Szidarovszky and Palusinsk [Appl. Math. Comput. 64, 115-119(1994)], who also presented an iterative algorithm for its solution. We show, via an example, that this algorithm could converge extremely slow in certian cases. The solution can then be used to minimize the reflection coefficients of the active signals.


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Additional Information

Jonq Juang
Affiliation: Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, Republic of China
Email: jjuang@math.nctu.edu.tw

DOI: https://doi.org/10.1090/S0002-9939-96-03499-5
Keywords: Microelectronics, $M$-matrix, a priori bounds, degree theory
Received by editor(s): March 10, 1995
Received by editor(s) in revised form: May 22, 1995
Additional Notes: The work is partially supported by the National Science Council of Taiwan, R. O. C
Communicated by: David H. Sharp
Article copyright: © Copyright 1996 American Mathematical Society