| 关于带W权Drazin逆的表示定理及迭代方法 |
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| 引用本文： | 卜凡斌. 关于带W权Drazin逆的表示定理及迭代方法[J]. 高等学校计算数学学报, 2004, 26(2): 97-109 |
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| 作者姓名： | 卜凡斌 |
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| 作者单位： | 上海复旦大学数学系,上海,200433 |
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| 基金项目： | 国家自然科学基金资助项目(19901006) |
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| 摘 要： | To study singular linear system, Cline and Greville[8] proposed the concept of W-weighted Drazin inverse for the rectangular matrices,where the properties were also discussed. The computation for the W-weighted Drazin inverse is of much interest, which is mainly divided into two kinds of methods: direct method[2,4,6] and iterative method[3,5,7,9,12,13]. In this paper, we study the iterative method and successive matrix squaring(SMS) method for the W-weighted Drazin inverse and generalize the main results in [12,13].
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| 关 键 词： | 迭代 奇异线性系统 带w权Drazin逆 长方阵 |
THE REPRESENTATION FOR W-WEIGHTED DRAZIN INVERSE AND ITS ITERATIVE METHODS |
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| Bu Fanbin. THE REPRESENTATION FOR W-WEIGHTED DRAZIN INVERSE AND ITS ITERATIVE METHODS[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(2): 97-109 |
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| Authors: | Bu Fanbin |
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| Abstract: | To study singular linear system, Cline and Greville[8] proposed the concept of W-weighted Drazin inverse for the rectangular matrices,where the properties were also discussed. The computation for the W-weighted Drazin inverse is of much interest, which is mainly divided into two kinds of methods: direct method[2,4,6] and iterative method[3,5,7,9,12,13]. In this paper, we study the iterative method and successive matrix squaring(SMS) method for the W-weighted Drazin inverse and generalize the main results in [12,13]. |
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| Keywords: | W-weighted Drazin inverse representation theorem index iterative method. |
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