An iterative method for obtaining the least squares solutions of quadratic inverse eigenvalue problems over generalized Hamiltonian matrix with submatrix constraints
DOI10.1016/j.camwa.2018.07.014zbMath1431.65051OpenAlexW2884592449MaRDI QIDQ2293581
Linjie Chen, Jia Tang, Chang-Feng Ma
Publication date: 5 February 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.014
optimal approximation problemgeneralized Hamiltonian solutionmatrix quadratic inverse eigenvalue problemminimum-norm solution group
Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\)
- On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)
- A finite iterative algorithm for solving the generalized \((P,Q)\)-reflexive solution of the linear systems of matrix equations
- On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)
- A generalized inverse eigenvalue problem in structural dynamic model updating
- Quadratic inverse eigenvalue problem for damped gyroscopic systems
- A new method for the bisymmetric minimum norm solution of the consistent matrix equations \(A_1XB_1 = C_1\), \(A_2XB_2 = C_2\)
- A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices
- The Quadratic Eigenvalue Problem
- Generalized inverse eigenvalue problem for (P,Q)-conjugate matrices and the associated approximation problem
- Practical Optimization
- Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods
- The solvability conditions for the inverse eigenvalue problem of Hermitian-generalized Hamiltonian matrices
- Finite iterative algorithms for the generalized reflexive and anti-reflexive solutions of the linear matrix equation AXB = C
- On the generalized inverse eigenvalue problem of constructing symmetric pentadiagonal matrices from three mixed eigendata
- On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem
- Iterative solutions of generalized inverse eigenvalue problem for partially bisymmetric matrices
- Preconditioned Positive-Definite and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations AX + XB = C
- Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems
This page was built for publication: An iterative method for obtaining the least squares solutions of quadratic inverse eigenvalue problems over generalized Hamiltonian matrix with submatrix constraints
