Add to ORKGThe classical Rayleigh Quotient Iteration (RQI) computes a 1-dimensional invariant subspace of a symmetric matrix A with cubic convergence. We propose a generalization of the RQI which computes a p-dimensional invariant subspace of A. The geometry of the algorithm on the Grassmann manifold Gr(p,n) is developed to show cubic convergence and to draw connections with recently proposed Newton algorithms on Riemannian manifolds
We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, p...
New methods for refining estimates of invariant subspaces of a non-symmetric matrix are presented. W...
We consider the problem of updating an invariant subspace of a Hermitian, large and structured matri...
The classical Rayleigh quotient iteration (RQI) allows one to compute a one-dimensional invariant su...
The classical Rayleigh quotient iteration (RQI) allows one to compute a one-dimensional invariant su...
Abstract. A generalization of the Rayleigh quotient iteration has recently been proposed on the Gras...
We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of R-n and...
The two-sided Rayleigh quotient iteration proposed by Ostrowski computes a pair of corresponding lef...
Abstract. We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces ...
We consider the Block Newton Method and a modification of it, the Block Rayleigh Quotient Iteration,...
We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of ℝn and ...
We study the global behaviour of a Newton algorithm on the Grassmann manifold for invariant subspace...
We present new algorithms for refining the estimates of the eigenvectors of a real symmetric matrix....
We are interested in the computation of the $s$ largest or smallest eigenvalues and corresponding ei...
AbstractIn this paper we propose a Modified Block Newton Method (MBNM) for approximating an invarian...
We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, p...
New methods for refining estimates of invariant subspaces of a non-symmetric matrix are presented. W...
We consider the problem of updating an invariant subspace of a Hermitian, large and structured matri...
The classical Rayleigh quotient iteration (RQI) allows one to compute a one-dimensional invariant su...
The classical Rayleigh quotient iteration (RQI) allows one to compute a one-dimensional invariant su...
Abstract. A generalization of the Rayleigh quotient iteration has recently been proposed on the Gras...
We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of R-n and...
The two-sided Rayleigh quotient iteration proposed by Ostrowski computes a pair of corresponding lef...
Abstract. We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces ...
We consider the Block Newton Method and a modification of it, the Block Rayleigh Quotient Iteration,...
We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of ℝn and ...
We study the global behaviour of a Newton algorithm on the Grassmann manifold for invariant subspace...
We present new algorithms for refining the estimates of the eigenvectors of a real symmetric matrix....
We are interested in the computation of the $s$ largest or smallest eigenvalues and corresponding ei...
AbstractIn this paper we propose a Modified Block Newton Method (MBNM) for approximating an invarian...
We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, p...
New methods for refining estimates of invariant subspaces of a non-symmetric matrix are presented. W...
We consider the problem of updating an invariant subspace of a Hermitian, large and structured matri...