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

被引：1

作者：

Gigola, S. ^{[1
]}

Lebtahi, L. ^{[2
,4
]}

Thome, N. ^{[3
]}

机构：

[1] Univ Buenos Aires, Fac Ingn, Dept Matemat, Buenos Aires, Argentina

[2] Univ Valencia, Dept Matematiques, Fac Ciencies Matematiques, Valencia, Spain

[3] Univ Politecn Valencia, Inst Univ Matemat Multidiscilpinar, Valencia, Spain

[4] Univ Valencia, Fac Matematiques, Calle Dr Moliner S-N, Burjassot 46100, Valencia, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2024年

关键词：

Inverse eigenvalue problem; (skew) J-Hamiltonian matrix; J-symplectic matrix; Moore-Penrose inverse; Procrustes problem; SOLVABILITY CONDITIONS;

D O I：

10.1080/03081087.2024.2348119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A square complex matrix A is called (skew) J-Hamiltonian if AJ is (skew) Hermitian where J is a real normal matrix such that J(2 )= -I, where I is the identity matrix. In this paper, we solve the Procrustes problem to find normal (skew) J-Hamiltonian solutions for the inverse eigenvalue problem. In addition, a similar problem is investigated for normal J-symplectic matrices.

引用

页数：23

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