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A PERTURBATION ANALYSIS FOR THE PROJECTION OF A STIFFLY SCALED MATRIX 被引量:1

A PERTURBATION ANALYSIS FOR THE PROJECTION OF A STIFFLY SCALED MATRIX
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摘要 In this paper we study the perturbation bound of the projection ( W A ) ( W A )+,where both the matrices A and W are given with W positive diagonal and severely stiff.When the perturbed matrix (A)= A + δA satisfy several row rank preserving conditions,we derive a new perturbation bound of the projection. In this paper we study the perturbation bound of the projection (WA) (WA)+, where both the matrices A and W are given with W positive diagonal and severely stiff. When the perturbed matrix A=A+δA satisfy several row rank preserving conditions, we derive a new perturbation bound of the projection.
基金 ThisworkissupportedbyNSFCundergrant10371044,andShanghaiPriorityAcademicDiscipline.
关键词 摄动分析 顽固进制矩阵 射影 秩级保留 摄动边值 projection, stiffly scaled matrix, perturbation, row rank preserving.
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参考文献3

  • 1N. Karmarkar.A new polynomial-time algorithm for linear programming[J].Combinatorica.1984(4)
  • 2Karmarkar N.A new polynomial time algorithm for linear programming[].Combinatorica.1984
  • 3Bjorck A.Numerical methods for least squares problems SIAM[].Philadelphia Medicine.1996

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