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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/10294

Title: Fast Algorithms for Solving Toeplitz and Bordered Toeplitz Matrix Problems Arising in Electromagnetic Theory
Authors: Ho, Min-Hua;Chen, Mingchih
Contributors: 電子工程學系
Date: 2005-06
Issue Date: 2012-05-22T06:27:11Z
Publisher: Maruzen Co., Ltd/Maruzen Kabushikikaisha
Abstract: In many electromagnetic field problems, matrix equations were always deduced from using the method of moment. Among these matrix equations, some of them might require a large amount of computer memory storage which made them unrealistic to be solved on a personal computer. Virtually, these matrices might be too large to be solved efficiently. A fast algorithm based on a Toeplitz matrix solution was developed for solving a bordered Toeplitz matrix equation arising in electromagnetic problems applications. The developed matrix solution method can be applied to solve some electromagnetic problems having very large-scale matrices, which are deduced from the moment method procedure. In this paper, a study of a computationally efficient order-recursive algorithm for solving the linear electromagnetic problems [Z] I = V, where [Z] is a Toeplitz matrix, was presented. Upon the described Toeplitz matrix algorithm, this paper derives an efficient recursive algorithm for solving a bordered Toeplite matrix with the matrix's major portion in the form of a Toeplitz matrix. This algorithm has remarkable advantages in reducing both the number of arithmetic operations and memory storage.
Relation: IEICE Trans. on Electronics, E88-C(6): 1295-1303
Appears in Collections:[電子工程學系] 期刊論文

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