AbstractIt is shown that matrices with a UV-displacement structure possess generalized inverses with a VU-displacement structure. Estimations for the displacement rank of the generalized inverses are presented. The results apply to matrices of Toeplitz, Vandermonde, and Cauchy type and provide formulas for generalized inverses which are important for fast algorithms
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In part...
International audienceFor matrices with displacement structure, basic operations like multiplication...
AbstractA matrix or a linear operator A is said to possess an UV-displacement structure if rank(AU −...
AbstractIn this paper, we study the displacement rank of the Drazin inverse. Both Sylvester displace...
AbstractWe introduce some generalized concepts of displacement structure for structured matrices obt...
There are various ways to prove that, under suitable conditions, the inverse of a Toeplitz matrix c...
This book begins with the fundamentals of the generalized inverses, then moves to more advanced topi...
AbstractIn this paper we investigate the inheritance of certain structures under generalized matrix ...
AbstractWe introduce some generalized concepts of displacement structure for structured matrices obt...
AbstractThe confluent Cauchy and Cauchy–Vandermonde matrices are considered, which were studied earl...
AbstractIn the present paper, confluent polynomial Vandermonde-like matrices with general recurrence...
AbstractIt takes of the order of N3 operations to solve a set of N linear equations in N unknowns or...
AbstractIn the present paper we use the displacement structure approach to introduce a new class of ...
AbstractGeneralized confluent Cauchy and Cauchy–Vandermonde matrices are introduced. These two kinds...
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In part...
International audienceFor matrices with displacement structure, basic operations like multiplication...
AbstractA matrix or a linear operator A is said to possess an UV-displacement structure if rank(AU −...
AbstractIn this paper, we study the displacement rank of the Drazin inverse. Both Sylvester displace...
AbstractWe introduce some generalized concepts of displacement structure for structured matrices obt...
There are various ways to prove that, under suitable conditions, the inverse of a Toeplitz matrix c...
This book begins with the fundamentals of the generalized inverses, then moves to more advanced topi...
AbstractIn this paper we investigate the inheritance of certain structures under generalized matrix ...
AbstractWe introduce some generalized concepts of displacement structure for structured matrices obt...
AbstractThe confluent Cauchy and Cauchy–Vandermonde matrices are considered, which were studied earl...
AbstractIn the present paper, confluent polynomial Vandermonde-like matrices with general recurrence...
AbstractIt takes of the order of N3 operations to solve a set of N linear equations in N unknowns or...
AbstractIn the present paper we use the displacement structure approach to introduce a new class of ...
AbstractGeneralized confluent Cauchy and Cauchy–Vandermonde matrices are introduced. These two kinds...
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
We describe rank structures in generalized inverses of possibly rectangular banded matrices. In part...
International audienceFor matrices with displacement structure, basic operations like multiplication...