Updating \(\star \)-palindromic quadratic systems with no spill-over

DOI10.1007/s40314-018-0655-xzbMath1413.65112OpenAlexW2806994128MaRDI QIDQ1715632

Kang Zhao, An-Ping Liao, Li-Zhi Cheng

Publication date: 29 January 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0655-x

zbMATH Keywords

inverse eigenvalue problemno spill-overmodel updating problempalindromic quadratic systempartially prescribed spectrum

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (3)

On a class of inverse palindromic eigenvalue problem ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating ⋮ On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure

Uses Software

• PEPACK

Cites Work

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• Application of the alternating direction method for an inverse monic quadratic eigenvalue problem
• An iterative method for solving finite element model updating problems
• A solution of the affine quadratic inverse eigenvalue problem
• A gradient based iterative algorithm for solving model updating problems of gyroscopic systems
• A proximal point-like method for symmetric finite element model updating problems
• Model-updating for self-adjoint quadratic eigenvalue problems
• Structured backward error for palindromic polynomial eigenvalue problems
• Palindromic eigenvalue problems: A brief survey
• Implicit QR algorithms for palindromic and even eigenvalue problems
• Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
• Explicit solution of the matrix equation \(AXB-CXD=E\)
• Finite element model updating in structural dynamics
• Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm
• On the inverse eigenvalue problem for \(T\)-alternating and \(T\)-palindromic matrix polynomials
• The solvability of two linear matrix equations
• A Fast Algorithm For Fast Train Palindromic Quadratic Eigenvalue Problems
• Applications of the alternating direction method of multipliers to the semidefinite inverse quadratic eigenvalue problem with a partial eigenstructure
• Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form
• Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
• Updating quadratic models with no spillover effect on unmeasured spectral data
• A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem
• A Dual Optimization Approach to Inverse Quadratic Eigenvalue Problems with Partial Eigenstructure
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• The Matrix Equation $AXB + CXD = E$
• Model Updating In Structural Dynamics: A Survey
• On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure
• Vector Spaces of Linearizations for Matrix Polynomials
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
• Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem

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