Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks
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DOI: 10.1007/s00211-020-01143-x
Abstract: Matrices or operators in two-by-two block form with square blocks arise in numerous important applications, such as in optimal control problems for PDEs. The problems are normally of very large scale so iterative solution methods… read more here.
Keywords: block; operators two; two two; preconditioner ... See more keywords
A new version of a preconditioning method for certain two-by-two block matrices with square blocks
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DOI: 10.1007/s10543-018-0741-x
Abstract: Two-by-two block matrices with square matrix blocks arise in many important applications. Since the problems are of large scale, iterative solution methods must be used. Thereby the choice of an efficient and robust preconditioner is… read more here.
Keywords: two two; new version; two block; block matrices ... See more keywords
Parameter modified versions of preconditioning and iterative inner product free refinement methods for two-by-two block matrices
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DOI: 10.1016/j.laa.2019.07.024
Abstract: Abstract A special two-by-two block matrix form arises in many important applications. Extending earlier results it is shown that parameter modified versions of a very efficient preconditioner does not improve its rate of convergence. This… read more here.
Keywords: two two; modified versions; two block; parameter modified ... See more keywords
A Dynamical Approach to Two-Block Separable Convex Optimization Problems with Linear Constraints
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DOI: 10.1080/01630563.2020.1845730
Abstract: Abstract The aim of this manuscript is to approach by means of first order differential equations/inclusions convex programming problems with two-block separable linear constraints and objectives, whereby (at least) one of the components of the… read more here.
Keywords: block; convex optimization; linear constraints; optimization ... See more keywords
Two-block model of a digital corrector for linearization of an analog radio channel
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DOI: 10.1134/s1064226917070014
Abstract: A two-block model of an analog radio channel of a digital communication system is proposed. Problems of identification of the model of the data transmission channel and synthesis of a digital precorrector for adaptive linearization… read more here.
Keywords: radio channel; block; analog radio; two block ... See more keywords