Newton's Method for a Generalized Inverse Eigenvalue Problem

DOI<1::AID-NLA95>3.0.CO;2-D 10.1002/(SICI)1099-1506(199701/02)4:1<1::AID-NLA95>3.0.CO;2-DzbMath0889.65039OpenAlexW1992697096MaRDI QIDQ4383416

Peter Lancaster, Hua Dai

Publication date: 1 April 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1506(199701/02)4:1<1::aid-nla95>3.0.co;2-d

zbMATH Keywords

convergencenumerical examplesgeneralized eigenvalue problemNewton methodinverse eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (13)

An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems ⋮ On Parameterised Quadratic Inverse Eigenvalue Problem ⋮ Smallest Singular Value Based Newton-Like Methods for Solving Quadratic Inverse Eigenvalue Problem ⋮ Reconstruction of an Impedance in Two-dimensions from Spectral Data ⋮ An inverse eigenvalue method for frequency isolation in spring–mass systems ⋮ Solving constrained quadratic inverse eigenvalue problem via conjugate direction method ⋮ A backward error for the symmetric generalized inverse eigenvalue problem ⋮ A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues ⋮ A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems ⋮ Solving generalized inverse eigenvalue problems via L-BFGS-B method ⋮ A quadratically convergent algorithm for inverse generalized eigenvalue problems ⋮ A stability theorem for a class of linear evolution systems ⋮ On the Solvability Condition and Numerical Algorithm for the Parameterized Generalized Inverse Eigenvalue Problem

Cites Work

• Matrix eigensystem routines. EISPACK guide extension
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