Bidiagonal decompositions of oscillating systems of vectors

[1]  Plamen Koev.  Accurate Computations with Totally Nonnegative Matrices , 2007, SIAM J. Matrix Anal. Appl..

[2]  Plamen Koev,et al.  Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices , 2005, SIAM J. Matrix Anal. Appl..

[3]  Shaun M. Fallat.  Bidiagonal Factorizations of Totally Nonnegative Matrices , 2001, Am. Math. Mon..

[4]  S. Fomin,et al.  Total Positivity: Tests and Parametrizations , 1999, math/9912128.

[5]  Charles R. Johnson,et al.  Elementary bidiagonal factorizations , 1999 .

[6]  Bidiagonalization of oscillatory matrices , 1997 .

[7]  Charles A. Micchelli,et al.  Total positivity and its applications , 1996 .

[8]  J. M. Peña,et al.  On Factorizations of Totally Positive Matrices , 1996 .

[9]  Francesco Brenti,et al.  Combinatorics and Total Positivity , 1995, J. Comb. Theory A.

[10]  Juan Manuel Peña,et al.  A matricial description of Neville elimination with applications to total positivity , 1994 .

[11]  Juan Manuel Peña,et al.  Total positivity, QR factorization, and Neville elimination , 1993 .

[12]  Juan Manuel Peña,et al.  Total positivity and Neville elimination , 1992 .

[13]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[14]  T. Andô.  Totally positive matrices , 1987 .

[15]  Guido D. Salvucci,et al.  Ieee standard for binary floating-point arithmetic , 1985 .

[16]  Eigenvector matrices of symmetric tridiagonals , 1984 .

[17]  C. Cryer.  Some properties of totally positive matrices , 1976 .

[18]  F. Gantmacher,et al.  Oscillation matrices and kernels and small vibrations of mechanical systems , 1961 .

[19]  A. Whitney,et al.  A reduction theorem for totally positive matrices , 1952 .