Nonlinear equations based on jointly homogeneous mappings

DOI10.1016/j.laa.2008.07.017zbMath1155.15016OpenAlexW2033497336MaRDI QIDQ958020

Yongdo Lim

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.017

zbMATH Keywords

normal conepositive definite matricespositive solutiongeometric meannonlinear matrix equationsjointly homogeneous mapThompson's part metric

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (1)

On some new fixed point results with applications to matrix difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Applications of Hilbert's projective metric to a class of positive nonlinear operators
• Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations
• On the exponential metric increasing property.
• Geometric means
• On solutions of the matrix equation T'AT=A\(^2\)
• Hilbert's metric and positive contraction mappings in a Banach space
• Metric convexity of symmetric cones
• Application of Hilbert's projective metric on symmetric cones
• Beiträge zur Störungstheorie der Spektralzerlegung
• Bushell's equations and polar decompositions
• Hilbert’s projective metric and iterated nonlinear maps
• The Geometric Mean, Matrices, Metrics, and More
• Geometrical significance of the Löwner-Heinz inequality
• On Certain Contraction Mappings in a Partially Ordered Vector Space

This page was built for publication: Nonlinear equations based on jointly homogeneous mappings