A new unbiased stochastic algorithm for solving linear Fredholm equations of the second kind
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-019-09676-y
Abstract: In this paper, we propose and analyse a new unbiased stochastic approach for solving a class of integral equations. We study and compare the proposed unbiased approach against the known biased Monte Carlo method based… read more here.
Keywords: unbiased stochastic; stochastic algorithm; algorithm solving; solving linear ... See more keywords
Global algorithm for solving linear multiplicative programming problems
Sign Up to like & getrecommendations! Published in 2020 at "Optimization Letters"
DOI: 10.1007/s11590-018-1378-z
Abstract: This article presents a rectangular branch-and-bound algorithm with standard bisection rule for solving linear multiplicative problem (LMP). In this algorithm, a novel linear relaxation technique is presented for deriving the linear relaxation programming of problem… read more here.
Keywords: problem lmp; linear multiplicative; programming problems; solving linear ... See more keywords
On the investigation of activation functions in gradient neural network for online solving linear matrix equation
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.06.097
Abstract: Abstract In this paper, we investigate different activation functions (AFs) on convergence performance of a gradient-based neural network (GNN) for solving linear matrix equation, AXB + X = C . It is observed that, by… read more here.
Keywords: matrix equation; power; linear matrix; convergence ... See more keywords
Global optimization algorithm for solving linear multiplicative programming problems
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2020.1812603
Abstract: In this paper, a class of linear multiplicative problems (LMP) are considered, which cover many applications and are known to be NP-hard. For finding the globally optimal solution to problem (LMP) ... read more here.
Keywords: global optimization; algorithm solving; optimization; optimization algorithm ... See more keywords
Eigenvalue-free iterative shrinkage-thresholding algorithm for solving the linear inverse problems
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DOI: 10.1088/1361-6420/abf9e8
Abstract: The iterative shrinkage threshold algorithm (ISTA) is widely used in solving linear inverse problems due to its simplicity. However, it depends on the calculation of eigenvalues during the iterative process, which will cost a lot… read more here.
Keywords: linear inverse; iterative shrinkage; inverse problems; solving linear ... See more keywords
Control Design for Iterative Methods in Solving Linear Algebraic Equations
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3115455
Abstract: In the interaction between control and mathematics, mathematical tools are fundamental for all control methods, but it is unclear how control impacts mathematics. This article attempts to give an answer with focus on solving linear… read more here.
Keywords: solving linear; ilc; control; design ... See more keywords
Solving Linear Diophantine Systems on Parallel Architectures
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Parallel and Distributed Systems"
DOI: 10.1109/tpds.2018.2873354
Abstract: Solving linear Diophantine systems of equations is applied in discrete-event systems, model checking, formal languages and automata, logic programming, cryptography, networking, signal processing, and chemistry. For modeling discrete systems with Petri nets, a solution in… read more here.
Keywords: linear diophantine; systems parallel; diophantine systems; solving linear ... See more keywords
A Highly Efficient and Accurate Finite Iterative Method for Solving Linear Two-Dimensional Fredholm Fuzzy Integral Equations of the Second Kind Using Triangular Functions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/2028763
Abstract: This work introduces a computational method for solving the linear two-dimensional fuzzy Fredholm integral equation of the second form (2D-FFIE-2) based on triangular basis functions. We have used the parametric form of fuzzy functions and… read more here.
Keywords: second kind; method solving; linear two; method ... See more keywords
A Two-Step Iterative Method Based on Diagonal and Off-Diagonal Splitting for Solving Linear Systems
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DOI: 10.2298/fil1705441d
Abstract: Solving linear systems is a classical problem of engineering and numerical analysis which has various applications in many sciences and engineering. In this paper, we study efficient iterative methods, based on the diagonal and off-diagonal… read more here.
Keywords: based diagonal; diagonal diagonal; method; diagonal splitting ... See more keywords
Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations
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DOI: 10.3390/axioms9030074
Abstract: We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides. We investigate hypersingular integral equations with second order singularities. Today, hypersingular integral equations… read more here.
Keywords: linear nonlinear; method; nonlinear hypersingular; hypersingular integral ... See more keywords
Solving Linear Tensor Equations
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DOI: 10.3390/universe7100383
Abstract: We develop a systematic way to solve linear equations involving tensors of arbitrary rank. We start off with the case of a rank 3 tensor, which appears in many applications, and after finding the condition… read more here.
Keywords: linear tensor; tensor; solving linear; tensor equations ... See more keywords