On completion problems for various classes of \(P\)-matrices

DOI10.1016/j.laa.2005.10.007zbMath1095.15016OpenAlexW2026025392MaRDI QIDQ819137

N. E. Zubov

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.007

zbMATH Keywords

matrix completiondeterminantpartial matrixFischer matrixinequalities involving determinantsnonnegative \(P\)-matrixweakly sign-symmetric \(P\)-matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items

The positive Q-matrix completion problem ⋮ Completion of Hankel partial contractions of extremal type

Cites Work

• Parallel concepts in graph theory
• A connection between positive semidefinite and Euclidean distance matrix completion problems
• Completions of partial \(P\)-matrices with acyclic or non-acyclic associated graph
• Matrix completion problems for pairs of related classes of matrices.
• \(P\)-matrix completions under weak symmetry assumptions
• The combinatorially symmetric P-matrix completion problem
• The (weakly) sign symmetric P-matrix completion problems
• The nonnegative P_0-matrix completion problem
• Completions of P-matrix patterns
• Graph theoretic methods for matrix completion problems

This page was built for publication: On completion problems for various classes of \(P\)-matrices