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三对角线部分逆M矩阵的完备

Completion Problems for Tridiagonal Partial Inverse M Matrices
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摘要 三对角线部分逆M矩阵是结构上为三对角线形式的同时又为部分逆M矩阵的一类特殊矩阵。对此类型矩阵的完备问题进行研究,给出它的完备定理以及具体的算法,根据此算法可以很容易的得到三对角线部分逆M矩阵的完备式。 Tridiagonal partial inverse M matrix is a special matrix. It is tridiagonal in structure and is a partial inverse M matrix. In the paper, the completion problems of the partial matrices are discussed. At the same time, we give its completion theorem and the algorithm. Applying the algorithm, the completions can be easily got.
出处 《燕山大学学报》 CAS 2003年第3期210-212,共3页 Journal of Yanshan University
关键词 三对角线部分逆M矩阵 部分矩阵 完备 部分逆M矩阵 partial matrix, tridiagonal partial inverse M ma- trix, completion.
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参考文献5

  • 1Willoughby R A. The inverse M-matrix problem. Linear Algebra Appl, 1977, (18): 75-94.
  • 2Johnson C R, Smith R L. The completion problem for M-matrix and inverse M- matrix. Linear Algebra and its Applications, 1996,( 241-243): 655-667.
  • 3Charles R Johnson, Ronald L Smith. The symmetric inverse M-mathix completion problem. Linear Algebra and its Applications,1999, (290): 193-212.
  • 4Lesie Hogben. Inverse M-matrix completions of patterns omitting some diagonal positions. Linear Algebra and its Applications,2000, (313): 173-192.
  • 5Jordan C, Torregrosa J R, Urbano A M. Inverse M-Matrix Completion Problem with Zero in the Inverse Completion. Applied Mathematics Letters, 2002, (15): 677-684.

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