Research Report 95-121, Department of Mathematics, Temple University, December 1995. This paper appeared, in revised form, in Numerical Linear Algebra with Applications, vol. 3 (1996) 413-426.The use of block two-stage methods for the iterative solution of consistent singular linear systems is studied. In particular, hypotheses are provided for the convergence of non-stationary methods, i.e., when the number of inner iterations may vary from block to block and from one outer iteration to another.DGICYT PR95-012 and PR095-01
AbstractSingular systems with index one arise in many applications, such as Markov chain modelling. ...
A convergence analysis is presented for additive Schwarz iterations when applied to consistent singu...
AbstractA stationary iterative method for solving a singular system Ax=b converges for any starting ...
Experiments are performed which demonstrate that parallel implementations of block stationary iterat...
AbstractWe study the semiconvergence of two-stage iterative methods for solving nonsymmetric singula...
AbstractThe theory of regular splittings for singular M-matrices is used to derive the necessary and...
AbstractIterative methods for the solution of consistent singular systems of linear equations are go...
AbstractWe study stationary and nonstationary two-stage iterative methods for the solution of consis...
AbstractIn this paper, we discuss convergence of the extrapolated iterative methods for solving sing...
AbstractIn this paper, we first show that for the stationary iterative methods for solving consisten...
We consider linear systems of equations, Ax = b, with an emphasis on the case where A is singular. U...
AbstractWe study a two-level algebraic multigrid scheme for computing the stationary distribution of...
AbstractIn the last two decades many papers have appeared in which the application of an iterative m...
this paper; see [12], [16], and the references given therein. We point out that, since the number of...
This thesis concerns the interaction of two widely known topics in the field of applied mathematics...
AbstractSingular systems with index one arise in many applications, such as Markov chain modelling. ...
A convergence analysis is presented for additive Schwarz iterations when applied to consistent singu...
AbstractA stationary iterative method for solving a singular system Ax=b converges for any starting ...
Experiments are performed which demonstrate that parallel implementations of block stationary iterat...
AbstractWe study the semiconvergence of two-stage iterative methods for solving nonsymmetric singula...
AbstractThe theory of regular splittings for singular M-matrices is used to derive the necessary and...
AbstractIterative methods for the solution of consistent singular systems of linear equations are go...
AbstractWe study stationary and nonstationary two-stage iterative methods for the solution of consis...
AbstractIn this paper, we discuss convergence of the extrapolated iterative methods for solving sing...
AbstractIn this paper, we first show that for the stationary iterative methods for solving consisten...
We consider linear systems of equations, Ax = b, with an emphasis on the case where A is singular. U...
AbstractWe study a two-level algebraic multigrid scheme for computing the stationary distribution of...
AbstractIn the last two decades many papers have appeared in which the application of an iterative m...
this paper; see [12], [16], and the references given therein. We point out that, since the number of...
This thesis concerns the interaction of two widely known topics in the field of applied mathematics...
AbstractSingular systems with index one arise in many applications, such as Markov chain modelling. ...
A convergence analysis is presented for additive Schwarz iterations when applied to consistent singu...
AbstractA stationary iterative method for solving a singular system Ax=b converges for any starting ...