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Please use this identifier to cite or link to this item:
http://ir.ncue.edu.tw/ir/handle/987654321/10294
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| 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
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| Issue Date: | 2012-05-22T06:27:11Z
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| 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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Files in This Item:
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Size | Format | |
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| 2050300210004.pdf | 8Kb | Adobe PDF | 332 | View/Open |
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