Generating Totally Positive Toeplitz Matrix from an Upper Bidiagonal Matrix

Mohamed A. Ramadan¹, Mahmoud M. Abu Murad^2*

¹Department of Mathematics, Faculty of Science, Menoufia University, Al Minufya, Egypt.
²Department of Mathematics, Faculty of Science, Zagazig University, Ash Sharqiyah, Egypt.

DOI: 10.4236/alamt.2015.54014                

Abstract

In this paper, we construct one of the forms of totally positive Toeplitz matrices from upper or lower bidiagonal totally nonnegative matrix. In addition, some properties related to this matrix involving its factorization are presented.

Keywords

Totally Positive Matrix, Totally Nonnegative Matrix, Toeplitz Matrix, LU Factorization

Conflicts of Interest

The authors declare no conflicts of interest.

References

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