Oscillation properties of generalized characteristic polynomials for totally positive and positive definite matrices

DOI10.1016/0024-3795(74)90056-1zbMath0288.15013OpenAlexW2079889897MaRDI QIDQ1846470

Allan Pinkus, Samuel Karlin

Publication date: 1974

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(74)90056-1

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (6)

Weak interlacing properties of totally positive matrices ⋮ Oscillation matrices in spline-interpolation problems ⋮ A class of cardinal lacunary interpolation problems by spline functions ⋮ The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation ⋮ Totally positive matrices ⋮ An interlacing property of eigenvalues of strictly totally positive matrices

Cites Work

• Coincidence probabilities
• Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation
• Oscillation properties of eigenvectors of strictly totally positive matrices
• A note on a nonlinear eigenvalue problem for a class of differential equations
• Bifurcation from simple eigenvalues
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
• Monotone and Oscillation Matrices Applied to Finite Difference Approximations
• The Existence of Eigenvalues for Integral Operators
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