Inertia of the matrix \([(p_i+p_j)^r]\)

DOI10.4171/JST/91zbMath1321.15017OpenAlexW2051619143MaRDI QIDQ2347239

Tanvi Jain, Rajendra Bhatia

Publication date: 27 May 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/91

zbMATH Keywords

inertiaVandermonde matrixpositive definite matrixSylvester's lawCauchy matrixmatrix monotone functionconditionally positive definite matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Positive definite functions in one variable harmonic analysis (42A82) Toeplitz, Cauchy, and related matrices (15B05)

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Determinants of some special matrices ⋮ A revisit to inertia of the matrices of the type \([(q_i+q_j)^r\) and \(\left[ \frac{{q_i}^{r+1}-{q_j}^{r+1}}{q_i-q_j}\right]\)] ⋮ Spectral behaviour of the matrix \(\big[ f(1- p_i p_j)\big\)] ⋮ On a question of Bhatia and Jain. III ⋮ Positivity properties of the matrix \({\left[(i+j)^{i+j}\right}\)] ⋮ Inertia of some conditionally negative definite matrices ⋮ Conditionally negative definite functions ⋮ Hadamard powers of some positive matrices ⋮ Inertia of some special matrices ⋮ Hadamard powers of rank two, doubly nonnegative matrices ⋮ Rajendra Bhatia and his mathematical achievements

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