Matrices of small Toeplitz rank, certain representations of the solution to an unstable system of linear equations with Toeplitz coefficient matrices, and related fast algorithms for solving such systems

被引：0
作者：
V. I. Gel’fgat
机构：
[1] AKMA Nongovernmental Pension Fund,
来源：
Computational Mathematics and Mathematical Physics | 2014年 / 54卷
关键词：
matrices; Toeplitz matrices; matrix inversion; unstable systems of linear equations; regularization; circulants; skew-circulants; spectral decompositions; economical numerical algorithms;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Formulas for inverting regularized systems of linear equations whose coefficient matrices are complex, Toeplitz, and singular or nearly singular are derived. They make it possible to develop economical algorithms for solving such systems in mass calculations.
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页码：1627 / 1642
页数：15
相关论文
共 5 条
  • [1] Gel’fgat V I(2013)On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices Comput. Math. Math. Phys. 53 1057-1069
  • [2] Ikramov Kh D(2004)Computer-algebra procedures for the Drazin inversion of a singular matrix Comput. Math. Math. Phys. 44 1093-1101
  • [3] far M M(1979)Shifted discrete Fourier transforms Probl. Inf. Transmiss. 15 324-327
  • [4] Chesnokov A A(undefined)undefined undefined undefined undefined-undefined
  • [5] Yaroslavskii L P(undefined)undefined undefined undefined undefined-undefined
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