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Multidimensional Systems and Signal Processing, ISSN 0923-6082, 7/2019, Volume 30, Issue 3, pp. 1531 - 1544
In this paper, we propose a new primal–dual fixed point algorithm with dynamic stepsize ( $$\hbox {PDFP}^{2}O_{DS_{n}}$$ PDFP 2 O D S n ) for solving convex... 
Engineering | Fixed point algorithm | Dynamic stepsize | Signal,Image and Speech Processing | Convex separable minimization | 90C25 | Artificial Intelligence | Proximity operator | 47H09 | Circuits and Systems | Electrical Engineering | COMPUTER SCIENCE, THEORY & METHODS | ENGINEERING, ELECTRICAL & ELECTRONIC | Information science | Algorithms
Journal Article
Electronic Journal of Linear Algebra, ISSN 1537-9582, 2018, Volume 34, Issue 1, pp. 217 - 230
In this paper, the nonlinear matrix equation X-P + A(T) XA = Q, where p is a positive integer, A is an arbitrary n x n matrix, and Q is a symmetric positive... 
Symmetric positive definite | Condition number | Mixed and componentwise | Fixed-point iteration | Matrix equation | MATHEMATICS | FIXED-POINT THEOREMS | ORDERED METRIC-SPACES
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 4/2019, pp. 1 - 1
This note develops a distributed algorithm to solve a convex optimization problem with coupled constraints. Both coupled equality and inequality constraints... 
smooth convex optimization | Distributed optimization | coupled constraints | fixed stepsize | convergence analysis
Journal Article
Optimization, ISSN 0233-1934, 03/2017, Volume 66, Issue 3, pp. 407 - 415
The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear... 
Split common fixed point problem | variable stepsize | projection | strong convergence | FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHMS | OPERATORS | Iterative methods | Algorithms | Theorems | Fixed points (mathematics) | Norms | Linear operators | Standards | Optimization | Convergence
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 04/2018, Volume 332, Issue C, pp. 140 - 158
Journal Article
Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 12/2017, Volume 19, Issue 4, pp. 2427 - 2436
The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a linear... 
Mathematical Methods in Physics | 47J20 | Analysis | Mathematics, general | Mathematics | variable stepsize | projection | 47J25 | 49N45 | 65J15 | Split common fixed-point problem | strong convergence | MATHEMATICS | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | ALGORITHM | variable step-size | Methods | Algorithms
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2010, Volume 216, Issue 5, pp. 1566 - 1570
This paper presents a fixed stepsize Euler scheme for linear impulsive delay differential equations and considers its convergence. We propose a method to take... 
Numerical method | Impulsive delay differential equations | Euler scheme | Fixed stepsize | Convergence | EXISTENCE | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | THEOREMS | Partitions | Computation | Mathematical analysis | Differential equations | Inequalities | Mathematical models | Delay
Journal Article
Russian Journal of Numerical Analysis and Mathematical Modelling, ISSN 0927-6467, 12/2008, Volume 23, Issue 6, pp. 567 - 595
This paper deals with asymptotically correct methods to evaluate the local and global errors of Nordsieck formulas applied to ordinary differential equations.... 
MATHEMATICS, APPLIED | ENGINEERING, MULTIDISCIPLINARY | STABILITY | MULTISTAGE INTEGRATION METHODS | FIXED-STEPSIZE METHODS | FORMULAS | ORDINARY DIFFERENTIAL-EQUATIONS | Research | Error analysis (Mathematics) | Differential equations | Estimation theory
Journal Article
2019 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), 04/2019, pp. 310 - 312
In this paper we propose the fixed-point implementation of extrapolation ODE solvers with adaptive stepsize. We show the applicability of the given approach... 
fixed-point arithmetic | Extrapolation | ordinary differential equations | Conferences | Computational modeling | extrapolation methods | Differential equations | stepsize control | Mathematical model | Finite wordlength effects | chaotic system | Biomedical engineering
Conference Proceeding
SIAM Journal on Scientific Computing, ISSN 1064-8275, 05/2000, Volume 21, Issue 6, pp. 2275 - 2294
Variable time-stepping algorithms for initial value ordinary differential equations are traditionally designed to solve a problem for a fixed initial condition... 
MATHEMATICS, APPLIED | RUNGE-KUTTA SCHEMES | adaptivity | fixed point | long time simulations | stability | stepsize | EQUILIBRIUM STATES
Journal Article
2013 Fourth International Conference on Emerging Intelligent Data and Web Technologies, 09/2013, pp. 734 - 736
In this paper, we propose a conjugate gradient method without line search. The method uses a fixed formula for solving step size, which does not involve any... 
conjugate gradient method | fixed formula of stepsize | global convergence | unconstrained optimization
Conference Proceeding
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 1995, Volume 58, Issue 2, pp. 151 - 169
This work examines the performance of explicit, adaptive, Runge-Kutta based algorithms for solving delay differential equations. The results of Hall (1985) for... 
Runge-Kutta method | Delay | Error control | Fixed point | MATHEMATICS, APPLIED | ERROR CONTROL | FIXED POINT | RUNGE-KUTTA METHODS | STABILITY | DELAY | STEPSIZE SELECTION | RUNGE-KUTTA METHOD | SCHEMES
Journal Article
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, ISSN 0253-4142, 08/1996, Volume 106, Issue 3, pp. 289 - 300
The distributed implementation of an algorithm for computing fixed points of an infinity-nonexpansive map is shown to converge to the set of fixed points under... 
fixed point computation | MATHEMATICS | distributed algorithm | infinity-nonexpansive map | controlled Markov chains | tapering stepsize
Journal Article
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, ISSN 0253-4142, 08/1996, Volume 106, Issue 3, pp. 289 - 300
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 10
The split feasibility problem (SFP) is finding a point x ∈ C $x\in C$ such that A x ∈ Q $Ax\in Q$ , where C and Q are nonempty closed convex subsets of Hilbert... 
split feasibility problem | 58E35 | minimum-norm solution | regularized CQ algorithm | Analysis | 47H09 | operator norm | Mathematics, general | Mathematics | Applications of Mathematics | 65J15 | strong convergence | MATHEMATICS | MATHEMATICS, APPLIED | PROJECTION ALGORITHM | SETS | ITERATIVE ALGORITHMS | FIXED-POINT PROBLEMS | Theorems | Feasibility | Algorithms | Convergence | Research
Journal Article
Inverse Problems, ISSN 0266-5611, 08/2012, Volume 28, Issue 8, pp. 85004 - 18
The split feasibility problem (SFP) consists in finding a point in a given closed convex subset of a Hilbert space such that its image under a bounded linear... 
VARIATIONAL-INEQUALITIES | PROJECTION | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | APPROXIMATION | RECONSTRUCTION | INVERSE PROBLEMS | ITERATIVE ALGORITHMS | CQ ALGORITHM | PHYSICS, MATHEMATICAL | FIXED-POINTS | STRONG-CONVERGENCE | Algorithms | Mathematical analysis | Norms | Feasibility | Hilbert space | Iterative methods | Linear operators | Convergence
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2019, Volume 387, pp. 446 - 454
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2018, Volume 341, pp. 80 - 98
Journal Article
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