The Method of Matrix-Order Reduction and Its Applications to Electromagnetic Problems

Wei CAO; Naoki INAGAKI; Di WU

The Method of Matrix-Order Reduction and Its Applications to Electromagnetic Problems

Wei CAO, Naoki INAGAKI, Di WU

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A new numerical technique, termed the method of matrix-order reduction (MMOR), is developed for handling electromagnetic problems in this paper, in which the matrix equation resulted from a method-of-moments analysis is converted either to an eigenvalue equation or to another matrix equation with the matrix order in both cases being much reduced, and also, the accuracy of solution obtained by solving either of above equations is improved by means of a newly proposed generalized Jacobian iteration. As a result, this technique enjoys the advantages of less computational expenses and a relatively good solution accuracy as well. To testify this new technique, a number of wire antennas are examined and the calculated results are compared with those obtained by using the method of moments.

Publication: IEICE TRANSACTIONS on Communications Vol.E80-B No.4 pp.608-616

Publication Date: 1997/04/25

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Category: Antennas and Propagation

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Wei CAO, Naoki INAGAKI, Di WU, "The Method of Matrix-Order Reduction and Its Applications to Electromagnetic Problems" in IEICE TRANSACTIONS on Communications, vol. E80-B, no. 4, pp. 608-616, April 1997, doi: .
Abstract: A new numerical technique, termed the method of matrix-order reduction (MMOR), is developed for handling electromagnetic problems in this paper, in which the matrix equation resulted from a method-of-moments analysis is converted either to an eigenvalue equation or to another matrix equation with the matrix order in both cases being much reduced, and also, the accuracy of solution obtained by solving either of above equations is improved by means of a newly proposed generalized Jacobian iteration. As a result, this technique enjoys the advantages of less computational expenses and a relatively good solution accuracy as well. To testify this new technique, a number of wire antennas are examined and the calculated results are compared with those obtained by using the method of moments.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/e80-b_4_608/_p

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@ARTICLE{e80-b_4_608,
author={Wei CAO, Naoki INAGAKI, Di WU, },
journal={IEICE TRANSACTIONS on Communications},
title={The Method of Matrix-Order Reduction and Its Applications to Electromagnetic Problems},
year={1997},
volume={E80-B},
number={4},
pages={608-616},
abstract={A new numerical technique, termed the method of matrix-order reduction (MMOR), is developed for handling electromagnetic problems in this paper, in which the matrix equation resulted from a method-of-moments analysis is converted either to an eigenvalue equation or to another matrix equation with the matrix order in both cases being much reduced, and also, the accuracy of solution obtained by solving either of above equations is improved by means of a newly proposed generalized Jacobian iteration. As a result, this technique enjoys the advantages of less computational expenses and a relatively good solution accuracy as well. To testify this new technique, a number of wire antennas are examined and the calculated results are compared with those obtained by using the method of moments.},
keywords={},
doi={},
ISSN={},
month={April},}

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TY - JOUR
TI - The Method of Matrix-Order Reduction and Its Applications to Electromagnetic Problems
T2 - IEICE TRANSACTIONS on Communications
SP - 608
EP - 616
AU - Wei CAO
AU - Naoki INAGAKI
AU - Di WU
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E80-B
IS - 4
JA - IEICE TRANSACTIONS on Communications
Y1 - April 1997
AB - A new numerical technique, termed the method of matrix-order reduction (MMOR), is developed for handling electromagnetic problems in this paper, in which the matrix equation resulted from a method-of-moments analysis is converted either to an eigenvalue equation or to another matrix equation with the matrix order in both cases being much reduced, and also, the accuracy of solution obtained by solving either of above equations is improved by means of a newly proposed generalized Jacobian iteration. As a result, this technique enjoys the advantages of less computational expenses and a relatively good solution accuracy as well. To testify this new technique, a number of wire antennas are examined and the calculated results are compared with those obtained by using the method of moments.
ER -