Bru, R.; Corral Ortega, Cristina; Gimenez Manglano, María Isabel; Mas Marí, José(Elsevier, 2008)
[EN] Let M(A) denote the comparison matrix of a square H-matrix A, that is, M(A) is an M-matrix. H-matrices such that their comparison matrices are non-singular are well studied in the literature. In this paper, we study ...
Bru García, Rafael; Gasso Matoses, María Teresa; Gimenez Manglano, María Isabel; Santana-De Asis, Máximo De Jesús(Elsevier, 2016-06-01)
The combined matrix of a nonsingular matrix A is the
Hadamard (entry wise) product C(A) = A ◦ (A−1)T . Since
each row and column sum of C(A) is equal to one, the combined
matrix is doubly stochastic when it is nonnegative. ...
Scott Guilleard, José Antonio(Universitat Politècnica de València, 2015-12-14)
[EN] The essential topic of this memory is the study of H-matrices as they
were introduced by Ostrowski and hereinafter extended and developed by
different authors. In this study three slopes are outlined: 1) the iterative ...
Bru García, Rafael; Gasso Matoses, María Teresa; Gimenez Manglano, María Isabel; Santana-De Asis, Máximo De Jesús(Taylor & Francis, 2017)
[EN] The combined matrix of a nonsingular matrix A is the Hadamard (entrywise) product . This paper deals with the characterization of the diagonal entries of a combined matrix C(A) of a given nonsingular real matrix A. A ...
Bru García, Rafael; Gimenez Manglano, María Isabel; Hadjidimos, Apostolos(Elsevier, 2012-01)
H-matrices play an important role in the theory and applications of Numerical Linear Algebra. So, it is very useful to know whether a given matrix A E Cn,n, usually the coefficient of a complex linear system of algebraic ...
Santana de Asís, Máximo de Jesús(Universitat Politècnica de València, 2015-04-14)
[EN] Several authors have studied the Hadamard product or entry wise product of
two matrices with di erent objectives. In particular, the product of a Hadamard
matrix and the transpose of its inverse has proved useful in ...
Bru García, Rafael; Gasso Matoses, María Teresa; Gimenez Manglano, María Isabel; Santana, Maximo(Hindawi Publishing Corporation, 2014-04)
The combined matrix of a nonsingular real matrix 𝐴 is the Hadamard (entrywise) product 𝐴 ∘ (𝐴−1)
𝑇
. It is well known that row
(column) sums of combined matrices are constant and equal to one. Recently, some results ...
Bru García, Rafael; Corral Ortega, Cristina; Gimenez Manglano, María Isabel; Mas Marí, José(John Wiley & Sons, 2009)
[EN] It is well known that the Schur complement of some H-matrices is an H-matrix. In this paper, the Schur complement of any general H-matrix is studied. In particular, it is proved that the Schur complement, if it exists, ...
Bru García, Rafael; Gasso Matoses, María Teresa; Gimenez Manglano, María Isabel; Scott, José A.(Hindawi Publishing Corporation, 2015)
[EN] We study the combined matrix of a nonsingular H-matrix. Iese matrices can belong to two diRerent H-matrices classes: the most
common, invertible class, and one particular class named mixed class. DiRerent results ...