Some extremal problems for strictly totally positive matrices

DOI10.1016/0024-3795(85)90272-1zbMath0553.15008OpenAlexW2108633896MaRDI QIDQ802001

Allan Pinkus

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90272-1

zbMATH Keywords

singular numbersapproximation numberstotally positive matricesGelfand numbersBernstein numbers

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (9)

Superregular matrices and applications to convolutional codes ⋮ Use of the Lagrange method in nonlinear analysis ⋮ On a sufficient condition for coincidence of spectrum and width ⋮ Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes ⋮ Kurtosis test of modality for rotationally symmetric distributions on hyperspheres ⋮ Completeness of certain exponential systems and zeros of lacunary polynomials ⋮ On a conjecture concerning interpolation by bivariate Bernstein polynomials ⋮ Full spark frames and totally positive matrices ⋮ A variational description of the spectra of totally positive matrices, and extremal problems of approximation theory

Cites Work

• Matrices and n-widths
• Spline spaces are optimal for \(L^2\) n-width
• On n-Widths in L ∞
• Unnamed Item
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