Fuster Capilla, Robert Ricard; Gasso Matoses, María Teresa; Gimenez Manglano, María Isabel(Springer-Verlag, 2019-08)
[EN] The Combined matrix of a nonsingular matrix A is defined by phi(A)=A T where degrees means the Hadamard (entrywise) product. If the matrix A describes the relation between inputs and outputs in a multivariable process ...
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 ...