Approximate Cayley transform methods for inverse eigenvalue problems and convergence analysis

DOI10.1016/j.laa.2017.02.030zbMath1372.65113OpenAlexW2589479692MaRDI QIDQ2400254

Jen-Chih Yao, Chong Li, Wei-Ping Shen

Publication date: 28 August 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.02.030

zbMATH Keywords

nonlinear equationnumerical experimentinverse eigenvalue problemCayley transform method

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18)

Related Items

An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems, A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues, The Riemannian two-step perturbed Gauss-Newton method for least squares inverse eigenvalue problems, A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems

Uses Software

• PLCP
• SQPlab

Cites Work

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• A Ulm-like method for inverse eigenvalue problems
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• An inverse eigenvalue problem: Computing \(B\)-stable Runge-Kutta methods having real poles
• Secant methods for semismooth equations
• A matrix inverse eigenvalue problem and its application
• The inexact Newton-like method for inverse eigenvalue problem
• On the local convergence of an iterative approach for inverse singular value problems
• Structured inverse eigenvalue problems
• An inexact Cayley transform method for inverse eigenvalue problems with multiple eigenvalues
• Optimization and nonsmooth analysis
• Inverse Problems in Vibration
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• On the Convergence Rate of a Quasi-Newton Method for Inverse Eigenvalue Problems
• Numerical Solution of the Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices
• Inverse Eigenvalue Problems
• Strong Semismoothness of Eigenvalues of Symmetric Matrices and Its Application to Inverse Eigenvalue Problems
• An affine inverse eigenvalue problem
• An inexact Cayley transform method for inverse eigenvalue problems
• On decentralized dynamic pole placement and feedback stabilization
• A Riemannian Newton Algorithm for Nonlinear Eigenvalue Problems
• Inverse eigenvalue problem in structural design
• Numerical optimization. Theoretical and practical aspects. Transl. from the French