Bru García, Rafael; Gasso Matoses, María Teresa; Santana-De Asis, Máximo De Jesús(Elsevier, 2022-01-01)
[EN] In this work, we study a lower bound of the condition number of a matrix by its combined matrix. In particular, we construct a special combined matrix in such a way that the sums of its columns are lower bounds of the ...
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. ...
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 ...
Gasso Matoses, María Teresa; Gil, Ivan; Gimenez Manglano, María Isabel; Santana-De Asis, Máximo De Jesús; Segura, Elaine(Universidad Católica del Norte, 2021-01)
[EN] The study of the diagonal entries of the combined matrix of a nonsingular
matrix A has been considered by different authors for the classes of Mmatrices,
positive definite matrices and totally positive (negative) ...
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 ...