Norm of nonnegative and positive matrices

  • Authors

    • Alaa Abu Alroz Jordanian university
    2017-07-26
    https://doi.org/10.14419/ijamr.v6i3.7637
  • Nonnegative Matrix, Positive Matrix, Spectral Radius, Perron Roots of Nonnegative Matrix.

  • Abstract

    The spectral radius r(A) of matrix A is the maximum modulus of the Eigen values. In this paper, the studies about the lower and upper bounds for the spectral radius and the lower bounds for the minimum eigen value of appositive and nonnegative matrices are investigate.

    The matrix norm, the spectral radius norm,and the column (row) sums of nonnegative and positive matrices are widely used to establish some inequalities for matrices. Then several existing results are improved for these inequalities for nonnegative and positive matrix. Furthermore, the lower and upper bounds of the Perron roots for nonnegative matrices are examined, and some upper bounds are computed.

  • References

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  • How to Cite

    Abu Alroz, A. (2017). Norm of nonnegative and positive matrices. International Journal of Applied Mathematical Research, 6(3), 98-108. https://doi.org/10.14419/ijamr.v6i3.7637

    Received date: 2017-04-23

    Accepted date: 2017-05-22

    Published date: 2017-07-26