factorizations
Linearizations of polynomial matrices with symmetries and their applications.
LU Decompositions of Generalized Diagonally Dominant Matrices
Matrix exponentials and inversion of confluent Vandermonde matrices.
Maximizing the determinant for a special class of block-partitioned matrices.
Métodos para la actualización de los factores de Q y R de una matriz.
Recientemente se han propuesto varios métodos para modificar los factores Q y R de una matriz una vez que se ha eliminado (o añadido) una fila o una columna. Normalmente la descripción de estos métodos se efectúa en el contexto de una determinada aplicación; quizá sea ésta la causa de su escasa difusión.
Minimal rank.
More on evaluating determinants
Multi-agent solver for non-negative matrix factorization based on optimization
This paper investigates a distributed solver for non-negative matrix factorization (NMF) over a multi-agent network. After reformulating the problem into the standard distributed optimization form, we design our distributed algorithm (DisNMF) based on the primal-dual method and in the form of multiplicative update rule. With the help of auxiliary functions, we provide monotonic convergence analysis. Furthermore, we show by computational complexity analysis and numerical examples that our distributed...
New results about semi-positive matrices
Our purpose is to present a number of new facts about the structure of semipositive matrices, involving patterns, spectra and Jordon form, sums and products, and matrix equivalence, etc. Techniques used to obtain the results may be of independent interest. Examples include: any matrix with at least two columns is a sum, and any matrix with at least two rows, a product, of semipositive matrices. Any spectrum of a real matrix with at least elements is the spectrum of a square semipositive matrix,...
Nonnegativity preservation under singular values perturbation.
On feebly nil-clean rings
A ring is feebly nil-clean if for any there exist two orthogonal idempotents and a nilpotent such that . Let be a 2-primal feebly nil-clean ring. We prove that every matrix ring over is feebly nil-clean. The result for rings of bounded index is also obtained. These provide many classes of rings over which every matrix is the sum of orthogonal idempotent and nilpotent matrices.
On Moore-Penrose Inverse of Block Matrices and Full-rank Factorization
On nonnegative sign equivalent and sign similar factorizations of matrices.
On the Cayley transform of positivity classes of matrices.
On the efficient update of rectangular LU-factorizations subject to low rank modifications.
On the LU Factorization of M-Matrices.
On the Nonnegativity of XX* and its Relevance in Econometrics.
On the solution of multiparameter problems of algebra. IV: The algorithm and its applications.
On the solution of multiparameter problems of algebra. V: The - factorization algorithm and its applications.