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非负矩阵Perron根的上下界 被引量:19

UPPER AND LOWER BOUNDS OF PERRON ROOTS OF NONNEGATIVE MATRICES
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摘要 For a nonnegative matrix that satisfies some conditons, we get sharper upperand lower bounds of perron root of the matrix by choosing simple similarity trans-formation such that the transformed matrix still is nonnegative and its smallestrow sum increases and its largest decreases. Some examples are given to show thenew estimation method is effective. For a nonnegative matrix that satisfies some conditons, we get sharper upper and lower bounds of perron root of the matrix by choosing simple similarity transformation such that the transformed matrix still is nonnegative and its smallest row sum increases and its largest decreases. Some examples are given to show the new estimation method is effective.
作者 卢琳璋 马飞
机构地区 厦门大学数学系
出处 《计算数学》 CSCD 北大核心 2003年第2期193-198,共6页 Mathematica Numerica Sinica
基金 国家自然科学基金 福建省自然科学基金资助项目.
关键词 非负矩阵 PERRON根 上界 上界 Brauer不等式 nonnegative(positive) matrices, Perron root, Estimation
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参考文献3

  • 1M. Marvin and H. Minc, A survey of Matrix Theory and Matrix Inequalities, Dover Publications, Inc., New York, 1992.
  • 2A. Berman and R.J.Plemmons, Nonnegative Matrices in the Mathematical Sciences, SIAM Press, PL, 1994.
  • 3Tomasz Szulc, A Lower Bound for the Perron Root of a Nonnegative Matrix. II, Lin. Alg-Appl., 112(1989), 19-27.

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