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Cubically Convergent Iterations for Invariant Subspace Computation: Cubically convergent iterations for invariant subspace computation

Authors: Absil, P-A Sepulchre, R Van Dooren, P et al.

Source: SIAM Journal on Matrix Analysis and Applications. 26:70-96

Subject Terms: Optimization, Numerical computation of eigenvalues and eigenvectors of matrices, symmetric eigenproblem, inverse iteration, Physique, chimie, mathématiques & sciences de la terre, Global convergence, Matrix algebra, 01 natural sciences, Keywords: Data coding, Invariant subspace, Physical, chemical, mathematical & earth Sciences, invariant subspace, Computational methods, Mathematical operators, 0101 mathematics, Grassmann manifold, Inverse iteration, Eigenvalues and eigenfunctions, numerical examples, Newton equations, cubic convergence, Symmetric eigenproblem, Set theo Cubic convergence, Rayleigh quotient, global convergence, Normalization, Mathématiques, Newton method, Data compression, Jacobi-Davidson method, Heuristic methods, Algorithms, Riccati equations, Mathematics

File Description: application/xml

Access URL: https://orbi.uliege.be/bitstream/2268/33343/1/AbsilSVM03a.pdf
https://locus.siam.org/doi/abs/10.1137/S0895479803422002
https://digitalcollections.anu.edu.au/handle/1885/77992
https://dblp.uni-trier.de/db/journals/siammax/siammax26.html#AbsilSDM04
http://perso.uclouvain.be/paul.vandooren/publications/AbsilSVM03a.pdf
https://epubs.siam.org/doi/pdf/10.1137/S0895479803422002

Cubically Convergent Iterations for Invariant Subspace Computation

Authors: Absil, P-A Sepulchre, R Van Dooren, P et al.

Source: SIAM Journal on Matrix Analysis and Applications

Index Terms: Keywords: Data coding; Jacobi-Davidson method; Newton equations; Normalization; Algorithms; Computational methods; Data compression; Eigenvalues and eigenfunctions; Heuristic methods; Mathematical operators; Matrix algebra; Optimization; Riccati equations; Set theo Cubic convergence; Global convergence; Grassmann manifold; Invariant subspace; Inverse iteration; Newton method; Rayleigh quotient; Symmetric eigenproblem, Journal article

URL: http://hdl.handle.net/1885/77992