| 三对角对称Toeplitz矩阵的解析逆阵 |
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| 引用本文： | 毕永青.三对角对称Toeplitz矩阵的解析逆阵[J].西南民族学院学报(自然科学版),2003,29(4):390-393. |
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| 作者姓名： | 毕永青 |
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| 作者单位： | 商丘师范学院 河南商丘 |
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| 摘 要： | 给出了三对角对称Toeplitz矩阵的逆阵元素的解析计算表达式,它避免了逆矩阵计算中需要调用三角函数的缺陷,只需要进行简单的幂次运算,从而极大地提高了计算速度,为等距B样条插值等应用领域拓展了算法,具有潜在的实用意义。
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| 关 键 词： | 三对角对称 Toeplitz矩阵 三角函数 逆矩阵 |
| 文章编号： | 1003-2843(2003)04-0390-04 |
| 修稿时间： | 2003年4月14日 |
Analytic inverse matrix of triple-diaganal symmetry Toeplitz matrix |
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| BI Yong-qing.Analytic inverse matrix of triple-diaganal symmetry Toeplitz matrix[J].Journal of Southwest Nationalities College(Natural Science Edition),2003,29(4):390-393. |
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| Authors: | BI Yong-qing |
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| Abstract: | With analytic caculating formula of inverse matrix element of triple-diagonal symmetry Toeplitz matrix given, the defect of transfering trigonometric function can be avoided in matric caculation. In this case, only simple power caculation is needed so that the caculating speed is greatly improved. The algorithm in other applied fields, for example, equidistance B-type item insertional value, is extended, which possesses potential practical significance. |
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| Keywords: | triple-diagonal symmetry Toeplitz matrix trigonometric function inverse matrix |
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