A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems

DOI10.1016/j.laa.2017.05.019zbMath1418.65053OpenAlexW2616149071MaRDI QIDQ2002784

Kensuke Aishima

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.05.019

zbMATH Keywords

Newton's methodquadratic convergenceCayley transforminverse eigenvalue problems

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (8)

一类特征值反问题(IEP)的基于矩阵方程的Ulm型算法 ⋮ Unnamed Item ⋮ A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues ⋮ Conjugate gradient-like algorithms for constrained operator equation related to quadratic inverse eigenvalue problems ⋮ The Riemannian two-step perturbed Gauss-Newton method for least squares inverse eigenvalue problems ⋮ A quadratically convergent algorithm for inverse generalized eigenvalue problems ⋮ Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations ⋮ A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems

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