Generating Totally Positive Toeplitz Matrix from an Upper Bidiagonal Matrix

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References

[1] Ando, T. (1987) Totally Positive Matrices. Linear Algebra and its Applications, 90, 165-219.

http://dx.doi.org/10.1016/0024-3795(87)90313-2

[2] Fallat, S.M. (2007) Totally Positive and Totally Nonnegative Matrices. Chapter 21 in Handbook of Linear Algebra, In: Hogben, L., Ed., Chapman & Hall/CRC, Boca Raton.

[3] Pinkus, A. (2010) Totally Positive Matrices, Cambridge Tracts. Vol.181, Cambridge Univ. Press, Cambridge.

[4] Fallat, S.M. and Johnson, C.R. (2011) Totally Nonnegative Matrices, Princeton Ser. Appl. Math. Princeton University Press, Princeton, Oxford.

[5] Cryer, C.W. (1973) The LU-Factorization of Totally Positive Matrices. Linear Algebra and its Applications, 7, 83-92.

http://dx.doi.org/10.1016/0024-3795(73)90039-6

[6] Fallat, S.M. (2001) Bidiagonal Factorizations of Totally Nonnegative Matrices. American Mathematical Monthly, 108, 697-712.

http://dx.doi.org/10.2307/2695613

[7] Adm, M. and Garloff, J. (2013) Interval of Totally Nonnegative Matrices. Linear Algebra and its Applications, 439, 3796-3806.