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Inertia of Loewner matrices

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Publication:2833069
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DOI10.1512/iumj.2016.65.5869zbMath1354.15005arXiv1501.01505OpenAlexW2964234327MaRDI QIDQ2833069

Rajendra Bhatia, Tanvi Jain, Shmuel Friedland

Publication date: 16 November 2016

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01505


zbMATH Keywords

inertiapositive definite matrixSylvester's lawLoewner matrixconditionally positive definite matrix


Mathematics Subject Classification ID

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


Related Items (9)

Bidiagonal decompositions and total positivity of some special matrices ⋮ Determinants of some special matrices ⋮ A revisit to inertia of the matrices of the type \([(q_i+q_j)^r\) and \(\left[ \frac{{q_i}^{r+1}-{q_j}^{r+1}}{q_i-q_j}\right]\)] ⋮ Inertia of Kraus matrices ⋮ On a question of Bhatia and Jain. III ⋮ Hadamard powers of some positive matrices ⋮ Rajendra Bhatia and his mathematical achievements ⋮ On a question of Bhatia, Friedland and Jain ⋮ Inertia of the matrix \([(p_i+p_j)^r\)]




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