Iterative Solution of Saddle-Point Systems of Linear Equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04934-7
Abstract: The paper considers preconditioned iterative methods in Krylov subspaces for solving systems of linear algebraic equations (SLAEs) with a saddle point arising from grid approximations of threedimensional boundary-value problems of various types describing filtration flows… read more here.
Keywords: solution saddle; saddle point; point systems; systems linear ... See more keywords
A modified computational algorithm for solving systems of linear integro-differential equations of fractional order
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2018.09.005
Abstract: Abstract In this paper, a simple algorithm is applied to the systems of linear integro-differential equations of fractional order, the fractional derivative is described in the Caputo sense. The applied algorithm consists of a single… read more here.
Keywords: equations fractional; integro differential; linear integro; systems linear ... See more keywords
Specht's criterion for systems of linear mappings
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DOI: 10.1016/j.laa.2017.01.006
Abstract: Abstract W. Specht (1940) proved that two n × n complex matrices A and B are unitarily similar if and only if trace w ( A , A ⁎ ) = trace w ( B… read more here.
Keywords: criterion; system; systems linear; linear mappings ... See more keywords
Synthesis of Fast and Superfast Solvers of Large Systems of Linear Algebraic Equations Using Control Theory Methods
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Computer and Systems Sciences International"
DOI: 10.1134/s1064230719020084
Abstract: Algorithms for fast and superfast solvers of large systems of linear algebraic equations are proposed. These algorithms are constructed based on a novel method of multistep decomposition of a multidimensional linear dynamic system. Examples of… read more here.
Keywords: solvers large; fast superfast; systems linear; superfast solvers ... See more keywords
Confined systems with a linear energy spectrum
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DOI: 10.1142/s0217732321500644
Abstract: Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we study quantum systems totally confined in space and with a linearly spaced energy spectrum. We present several examples… read more here.
Keywords: systems linear; confined systems; linear energy; energy ... See more keywords
The Inverse Tangent Law for the solutions of systems of linear algebraic equations with independent random coefficients
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DOI: 10.1515/rose-2018-0010
Abstract: Abstract The Inverse Tangent Law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Lindeberg’s condition. read more here.
Keywords: tangent law; solutions systems; inverse tangent; linear algebraic ... See more keywords
Solving large scale systems of linear equations with a stabilized Lanczos-type algorithms running on a cloud computing platform
Sign Up to like & getrecommendations! Published in 2018 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2018.561
Abstract: The Lanczos-type algorithms for Systems of Linear Equations (SLEs) are efficient but fragile. A number of ways to resolve this issue have been suggested. But, the problem is still not fully sorted, in our view.… read more here.
Keywords: type algorithms; systems linear; linear equations; type ... See more keywords