Hermitian matrices: Spectral coupling, plane geometry/trigonometry and optimisation
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.07.009
Abstract: Abstract The paper presents the information processing that can be performed by a general hermitian matrix when two of its distinct eigenvalues are coupled, such as λ λ ′ , instead of considering only one… read more here.
Keywords: trigonometry; matrices spectral; spectral coupling; hermitian matrices ... See more keywords
Trace formulas for general Hermitian matrices: unitary scattering approach and periodic orbits on an associated graph
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab5986
Abstract: Two trace formulas for the spectra of arbitrary Hermitian matrices are derived by transforming the given Hermitian matrix $H$ to a unitary analogue. In the first type the unitary matrix is $e^{i(\lambda\II - H)}$ where… read more here.
Keywords: periodic orbits; matrix; trace formulas; unitary scattering ... See more keywords
Robust Consensus in a Class of Fractional-Order Multi-Agent Systems with Interval Uncertainties Using the Existence Condition of Hermitian Matrices
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12010065
Abstract: This study outlines the necessary and sufficient criteria for swarm stability asymptotically, meaning consensus in a class of fractional-order multi-agent systems (FOMAS) with interval uncertainties for both fractional orders 0 < α < 1 and… read more here.
Keywords: hermitian matrices; consensus; fractional order; multi agent ... See more keywords