The elliptic matrix completion problem

DOI10.1016/j.laa.2010.07.020zbMath1256.15015OpenAlexW2051643399MaRDI QIDQ630533

Ronald L. Smith, Ossama A. Saleh

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.020

zbMATH Keywords

inequalities involving eigenvaluesmatrix completionHermitian matrixelliptic matricesinterlacingnonnegative tensornegative semidefinite matrices

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix completion problems (15A83)

Cites Work

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• Positive definite completions of partial Hermitian matrices
• The positive definite completion problem revisited
• The negative signature of some Hermitian matrices
• Elliptic matrices with zero diagonal
• Determinantal formulae for matrix completions associated with chordal graphs
• Determination of the inertia of a partitioned Hermitian matrix
• Inertia possibilities for completions of partial hermitian matrices^*
• Matrix Analysis
• Matrices with chordal inverse zero-patterns
• The Euclidian Distance Matrix Completion Problem

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