Bidiagonal Factorizations of Totally Nonnegative Matrices
From MaRDI portal
Publication:4408854
DOI10.2307/2695613zbMath1032.15015OpenAlexW4240245484MaRDI QIDQ4408854
Publication date: 10 March 2004
Full work available at URL: https://doi.org/10.2307/2695613
Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items
Oscillations in biochemical reaction networks arising from pairs of subnetworks ⋮ Unnamed Item ⋮ Bidiagonal decompositions and total positivity of some special matrices ⋮ On the characterization of totally nonpositive matrices ⋮ On the zeros of complex Van Vleck polynomials ⋮ Tests for the recognition of total positivity ⋮ Interlacing properties of roots of certain biorthogonal polynomials ⋮ Sign regular matrices and Neville elimination ⋮ An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues ⋮ A class of oscillatory matrices with exponent \(n - 1\) ⋮ Bidiagonal factorizations with some parameters equal to zero ⋮ A finite-step construction of totally nonnegative matrices with specified eigenvalues ⋮ Poisson geometry of directed networks in an annulus ⋮ Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank ⋮ Quantum tomography under prior information ⋮ Wronskians, total positivity, and real Schubert calculus ⋮ Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective ⋮ Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices ⋮ An optimal test for almost strict total positivity ⋮ Turing-Hopf instability in biochemical reaction networks arising from pairs of subnetworks ⋮ Characterizations of Jacobi sign regular matrices ⋮ Bidiagonal decompositions of oscillating systems of vectors ⋮ Componentwise backward error analysis of Neville elimination ⋮ Rank structure properties of rectangular matrices admitting bidiagonal-type factorizations ⋮ Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices ⋮ On the dimension of subspaces with bounded Schmidt rank ⋮ Irreducible totally nonnegative matrices with a prescribed Jordan structure ⋮ Process tomography for unitary quantum channels ⋮ On the maximum rank of totally nonnegative matrices ⋮ Accurate computations with Said-Ball-Vandermonde matrices ⋮ A remark on oscillatory matrices ⋮ Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications ⋮ Oscillations in non-mass action kinetics models of biochemical reaction networks arising from pairs of subnetworks ⋮ Accurate computations of eigenvalues of quasi-Cauchy-Vandermonde matrices ⋮ The Kostant-Toda equation and the hungry integrable systems ⋮ All Jordan canonical forms of irreducible totally non-negative matrices ⋮ Sums of rank-one matrices and ranks of principal submatrices ⋮ Totally Positive Density Matrices and Linear Preservers ⋮ Computing eigenvalues of quasi-generalized Vandermonde matrices to high relative accuracy ⋮ Matrices with Bidiagonal Decomposition, Accurate Computations and Corner Cutting Algorithms