Add to ORKGBlock lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned systems are related
AbstractIn this paper, a special kind of matrices which are symmetric, all elements are equal to zer...
AbstractSuppose λ1⩾⋯⩾λn⩾0 are the eigenvalues of an n×n totally nonnegative matrix, and λ̃1⩾⋯⩾λ̃k ar...
AbstractFor the eigenproblem AP = λBP, in which A and B are of a class of Hermitian matrices which i...
AbstractThis paper discusses the spectral properties of the nonsymmetric saddle point matrices of th...
Block lower triangular matrices and block upper triangular matrices are popular preconditioners for ...
Block lower triangular matrices and block upper triangular matrices are popular preconditioners for ...
AbstractIn this paper, two preconditioners based on augmentation are introduced for the solution of ...
AbstractThe main topic of this paper is the matrix V=A−XY*, where A is a nonsingular complex k×k mat...
AbstractLet F be a field. In [Djokovic, Product of two involutions, Arch. Math. 18 (1967) 582–584] i...
AbstractThe characteristic polynomial of a low rank bordered matrix of special structure is determin...
AbstractAn involutory upper triangular Pascal matrix Un is investigated. Eigenvectors of Un and of U...
Results of Benzi and Simoncini (Numer. Math. 103 (2006), pp.~173--196) on spectral properties of blo...
AbstractThe bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitia...
AbstractLet A − λB be a definite matrix pencil of order n, i.e., both A and B are n × n Hermitian an...
AbstractThe nonnegative inverse eigenvalue problem (NIEP) is: given a family of complex numbers σ={λ...
AbstractIn this paper, a special kind of matrices which are symmetric, all elements are equal to zer...
AbstractSuppose λ1⩾⋯⩾λn⩾0 are the eigenvalues of an n×n totally nonnegative matrix, and λ̃1⩾⋯⩾λ̃k ar...
AbstractFor the eigenproblem AP = λBP, in which A and B are of a class of Hermitian matrices which i...
AbstractThis paper discusses the spectral properties of the nonsymmetric saddle point matrices of th...
Block lower triangular matrices and block upper triangular matrices are popular preconditioners for ...
Block lower triangular matrices and block upper triangular matrices are popular preconditioners for ...
AbstractIn this paper, two preconditioners based on augmentation are introduced for the solution of ...
AbstractThe main topic of this paper is the matrix V=A−XY*, where A is a nonsingular complex k×k mat...
AbstractLet F be a field. In [Djokovic, Product of two involutions, Arch. Math. 18 (1967) 582–584] i...
AbstractThe characteristic polynomial of a low rank bordered matrix of special structure is determin...
AbstractAn involutory upper triangular Pascal matrix Un is investigated. Eigenvectors of Un and of U...
Results of Benzi and Simoncini (Numer. Math. 103 (2006), pp.~173--196) on spectral properties of blo...
AbstractThe bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitia...
AbstractLet A − λB be a definite matrix pencil of order n, i.e., both A and B are n × n Hermitian an...
AbstractThe nonnegative inverse eigenvalue problem (NIEP) is: given a family of complex numbers σ={λ...
AbstractIn this paper, a special kind of matrices which are symmetric, all elements are equal to zer...
AbstractSuppose λ1⩾⋯⩾λn⩾0 are the eigenvalues of an n×n totally nonnegative matrix, and λ̃1⩾⋯⩾λ̃k ar...
AbstractFor the eigenproblem AP = λBP, in which A and B are of a class of Hermitian matrices which i...