Procrustes problem for the inverse eigenvalue problem of normal (skew) J-Hamiltonian matrices and normal J-symplectic matrices

[EN] A square complex matrix A is called (skew) J-Hamiltonian if AJ is (skew) Hermitian where J is a real normal matrix such that J2 = ¿I, where I is the identity matrix. In this paper, we solve the Procrustes problem tofind normal (skew)J-Hamiltonian solutionsfor the inverse eigenvalue problem. In...

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Detalles Bibliográficos
Autores: Gigola, S., Lebtahi, L., Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::0673412923727853f2395d9fb6eec3c5
Acceso en línea:https://riunet.upv.es/handle/10251/234030
Access Level:acceso abierto
Palabra clave:Inverse eigenvalue problem
(skew) J-Hamiltonian matrix
J-symplectic matrix
Moore-Penrose inverse
Procrustes problem
Descripción
Sumario:[EN] A square complex matrix A is called (skew) J-Hamiltonian if AJ is (skew) Hermitian where J is a real normal matrix such that J2 = ¿I, where I is the identity matrix. In this paper, we solve the Procrustes problem tofind normal (skew)J-Hamiltonian solutionsfor the inverse eigenvalue problem. In addition, a similar problem is investigated for normal J-symplectic matrices.