Given a square matrix A, a Brauer's theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75-91] shows how to modify one single eigenvalue ...
Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor(Elsevier, 2013-09)
In this paper, we deal with {K, s + 1}-potent matrices. These matrices generalize all the following classes of matrices: k-potent matrices, periodic matrices, idempotent matrices, involutory matrices, centrosymmetric ...
García Ariza, Alexis Paolo; Rubio Arjona, Lorenzo(Institute of Electrical and Electronics Engineers (IEEE), 2011-10)
Under realistic propagation conditions in multiple-input-multiple-output (MIMO) wireless channels, some experimental (measured) full-spatial-correlation (FSC) MIMO channel matrices may not be positive definite, especially ...
The viscous damping model has been widely used to represent dissipative forces in structures under mechanical vibrations. In multiple degree of freedom systems, such behavior is mathematically modeled by a damping matrix, ...
Merz, F.; Kowitz, C.; Romero Alcalde, Eloy; Román Moltó, José Enrique; Jenko, F.(Elsevier, 2012-04)
Plasma microinstabilities, which can be described in the framework of the linear gyrokinetic equations, are routinely computed in the context of stability analyses and transport predictions for magnetic confinement fusion ...
Cordero Barbero, Alicia; Soleymani, Fazlollah; Torregrosa Sánchez, Juan Ramón; Ullah, M. Zaka(Elsevier, 2017)
[EN] A general family of iterative methods including a free parameter is derived and proved to be convergent for computing matrix sign function under some restrictions on the parameter. Several special cases including ...
Campos, Carmen; Román Moltó, José Enrique(Society for Industrial and Applied Mathematics, 2016)
Polynomial eigenvalue problems are often found in scientific computing applications. When the coefficient matrices of the polynomial are large and sparse, usually only a few eigenpairs are required and projection methods ...
Vitale, Raffaele; Westerhuis, Johan A.; Naes, Tormod; Smilde, Age K.; De Noord, Onno E.; Ferrer, Alberto(John Wiley & Sons, 2017)
[EN] Selecting the correct number of factors in principal component analysis (PCA) is
a critical step to achieve a reasonable datamodelling,where the optimal strategy
strictly depends on the objective PCA is applied for. ...
The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer s theorem is proposed for solving the problem. It allows us to modify some ...
The inverse eigenvalue problem and the associated optimal approximation problem for
Hermitian reflexive matrices with respect to a normal {k+1}-potent matrix are considered. First, we study the existence of the solutions ...