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Different types of synchronous and asynchronous two-stage multisplitting algorithms for the solution of linear systems are analyzed. The different algorithms which appeared in the literature are… (More)

- Rafael Bru
- 1994

Abstract. We develop conditions under which a product ∏∞ i=0 Ti of matrices chosen from a possibly infinite set of matrices S = {Tj |j ∈ J} converges. We obtain the following conditions which are… (More)

In this paper, the properties of reachability, controllability and essential reachability of positive discrete-time linear control systems are studied. These properties are characterized in terms of… (More)

- Rafael Bru, Carmen Coll, Sergio Romero-Vivo, Elena Sánchez
- POSTA
- 2003

In this work some topics about positively of discrete-time singular systems have been studied. Necessary an sufficient conditions guaranteeing the positively singular system are given in terms of… (More)

- Rafael Bru, Juana Cerdán, José Marín, José Mas
- SIAM J. Scientific Computing
- 2003

Let Ax = b be a large, sparse, nonsymmetric system of linear equations. A new sparse approximate inverse preconditioning technique for such a class of systems is proposed. We show how the matrix A−1… (More)

- Rafael Bru, José Marín, José Mas, Miroslav Tuma
- SIAM J. Scientific Computing
- 2008

In this paper we present a new incomplete factorization of a square matrix into triangular factors in which we get standard LU or LDL T factors (direct factors) and their inverses (inverse factors)… (More)

- Rafael Bru, Francisco Pedroche, Daniel B. Szyld
- SIAM J. Matrix Analysis Applications
- 2005

A convergence analysis is presented for additive Schwarz iterations when applied to consistent singular systems of equations of the form Ax = b. The theory applies to singular M -matrices with… (More)

- Rafael Bru, José Marín, José Mas, Miroslav Tuma
- SIAM J. Scientific Computing
- 2014

New preconditioning strategies for solving m × n overdetermined large and sparse linear least squares problems using the CGLS method are described. First, direct preconditioning of the normal… (More)

- Ljiljana Cvetkovic, Vladimir Kostic, Rafael Bru, Francisco Pedroche
- Adv. Comput. Math.
- 2011

It is well known that the spectrum of a given matrix A belongs to the Geršgorin set (A), as well as to the Geršgorin set applied to the transpose of A, (AT). So, the spectrum belongs to their… (More)