Positive definiteness of Hermitian interval matrices

DOI10.1016/j.laa.2009.10.011zbMath1198.65086OpenAlexW1979324646MaRDI QIDQ846327

Junwei Shao, Xiaorong Hou

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.011

zbMATH Keywords

eigenvaluepositive definitenessinterval matrixsymmetric interval matricesHermitian interval matrix

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Uses Software

• alphaBB

Cites Work

• Unnamed Item
• Verification of positive definiteness
• Optimal finite characterization of linear problems with inexact data
• The extreme eigenvalues and stability of Hermitian interval matrices
• Positive Definiteness and Stability of Interval Matrices
• A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices

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