Hermitian matrices: spectral coupling, plane geometry/trigonometry and optimisation

DOI10.1016/j.laa.2017.07.009zbMath1371.15009OpenAlexW2736110202MaRDI QIDQ2404975

M. Monserrat Rincon-Camacho, Françoise Chatelin

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.07.009

zbMATH Keywords

balance equationEuler equationHermitian matrixanti-eigenvectorinvariant planespectral planeangle between complex linescatchvectorindefinite symmetricmatrixlocal optimisationmidvectorspectral couplingtorus in 3D

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Real and complex geometry (51M99) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometrical meaning of the Kantorovich-Wielandt inequalities
• Interaction antieigenvalues
• Operator trigonometry of statistics and econometrics
• Matrix Analysis
• The inefficiency of least squares
• Reflections on the Arbelos
• Angles in complex vector spaces

This page was built for publication: Hermitian matrices: spectral coupling, plane geometry/trigonometry and optimisation