Abstract: Invariant subspaces of a matrix A are considered which are obtained by truncation of a Jordan basis of a generalized eigenspace of A. We characterize those subspaces which are independent of the choice of the Jordan basis. An application to Hamilton matrices and algebraic Riccati equations is given. Address for Correspondence
Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an...
The notion of invariant subspaces is useful in a number of theoretical and practical applications. ...
Abstract. Hamiltonian matrices with respect to a nondegenerate skewsymmetric or skewhermitian indefi...
AbstractA characterization is obtained for the matrices A with the property that every (some) Jordan...
A problem that is frequently encountered in a variety of mathematical contexts is to find the common...
The existence, uniqueness, and parametrization of Lagrangian invariant subspaces for Hamiltonian mat...
AbstractWe study the behavior of the lattice Inv(X) of all invariant subspaces of a matrix X, when X...
This paper addresses some numerical issues that arise in computing a basis for the stable invariant ...
The existence and uniqueness of Lagrangian invariant subspaces of Hamiltonian matrices is studied. N...
Abstractlmos proved that if A is a matrix and if E is an A-invariant subspace, then there exist matr...
Generalizing the notion of an eigenvector, invariant subspaces are frequently used in the context of...
HROUGHOUT this paper we use the following nota-T t i o n and conventions. Uppercase is used for matr...
New methods for refining estimates of invariant subspaces of a non-symmetric matrix are presented. W...
The numerical solution of an algebraic Riccati equation can be reduced to the computation of an inva...
AbstractLet A be an n×n matrix. It is a relatively simple process to construct a homogeneous ideal (...
Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an...
The notion of invariant subspaces is useful in a number of theoretical and practical applications. ...
Abstract. Hamiltonian matrices with respect to a nondegenerate skewsymmetric or skewhermitian indefi...
AbstractA characterization is obtained for the matrices A with the property that every (some) Jordan...
A problem that is frequently encountered in a variety of mathematical contexts is to find the common...
The existence, uniqueness, and parametrization of Lagrangian invariant subspaces for Hamiltonian mat...
AbstractWe study the behavior of the lattice Inv(X) of all invariant subspaces of a matrix X, when X...
This paper addresses some numerical issues that arise in computing a basis for the stable invariant ...
The existence and uniqueness of Lagrangian invariant subspaces of Hamiltonian matrices is studied. N...
Abstractlmos proved that if A is a matrix and if E is an A-invariant subspace, then there exist matr...
Generalizing the notion of an eigenvector, invariant subspaces are frequently used in the context of...
HROUGHOUT this paper we use the following nota-T t i o n and conventions. Uppercase is used for matr...
New methods for refining estimates of invariant subspaces of a non-symmetric matrix are presented. W...
The numerical solution of an algebraic Riccati equation can be reduced to the computation of an inva...
AbstractLet A be an n×n matrix. It is a relatively simple process to construct a homogeneous ideal (...
Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an...
The notion of invariant subspaces is useful in a number of theoretical and practical applications. ...
Abstract. Hamiltonian matrices with respect to a nondegenerate skewsymmetric or skewhermitian indefi...