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Applied Mathematics

Applied Mathematics

Applied Mathematics

ISSN Print: 2152-7385
ISSN Online: 2152-7393
www.scirp.org/journal/am
E-mail: am@scirp.org
"Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method"
written by Tianmin Han, Yuhuan Han,
published by Applied Mathematics, Vol.1 No.3, 2010
has been cited by the following article(s):
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[4] Аналитическое решение задачи оптимального управления переориентацией твердого тела (космического аппарата) с использованием кватернионов
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[5] An Analytical Solution to the Problem of Optimal Control of the Reorientation of a Rigid Body (Spacecraft) Using Quaternions
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[6] Quadratic Optimal Control in Reorienting a Spacecraft in a Fixed Time Period in a Dynamic Problem Statement
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[7] КВАДРАТИЧНО ОПТИМАЛЬНОЕ УПРАВЛЕНИЕ ПЕРЕОРИЕНТАЦИЕЙ КОСМИЧЕСКОГО АППАРАТА ЗА ФИКСИРОВАННОЕ ВРЕМЯ В ДИНАМИЧЕСКОЙ …
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[8] Dynamic Zero Finding for Algebraic Equations
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[9] Numerical Analysis in Nonlinear Least Squares Methods and Applications
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[10] Energy-Efficient Digital Hardware Platform for Learning Complex Systems
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[11] Zero finding via feedback stabilisation
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[12] Solving a Boundary Value Problem from Chapra, Part 2
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[13] Solving a Boundary Value Problem from Chapra
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[14] Solving the Boundary Value Problem of Chapra's Example 24.7 but with 120 Subintervals instead of 5 Subintervals
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[15] How To Solve in Integers Systems of Simultaneous Nonlinear Equations
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[16] J22= 1 and each unknown= 0 or 1. The first equation above is based on the Rosenbrock function in Schitkowski [11, pp. 118-123]. The second ccmes from Schitkowski [11, p. 194]. 0 REM DEFDBL AZ 3 DEFINT X
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[17] 12 FOR JJJJ=-32000 TO 32000 15 RANDOMIZE JJJJ 16 M=-1D+ 37 41 FOR J44= 1 TO 9500 42 A (J44)=-2+ FIX (RND* 5)
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[18] Solving in General Integers a Nonlinear System of Five Simultaneous Nonlinear Equations with Cold Starts A (KK)=-300000+ FIX (RND* 600001)
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[19] The General Mixed Integer Nonlinear Programming (MINLP) Computer Program/Solver Previously Illustrated Here Numerous Times Applied to Solving a Nonlinear System of Two Simultaneous Nonlinear Equations Involving 150,000 Binary (or 0-1) Integer Variables
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[20] Solving in General Integers a Nonlinear System of Four Simultaneous Nonlinear Equations, Second Edition
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[21] A Nonlinear Integer Programming Code/Software/Solver Applied to Solving a Nonlinear System of 10500 Simultaneous Diophantine Equations Based on the Brown Almost Linear Function, Second Edition
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[22] Simultaneously Solving in General Integers a Nonlinear System of Six Simultaneous Nonlinear Equations with 1<= X (i)<= 17
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[23] The Domino Method of Nonlinear Integer/Continuous/Discrete Programming Seeking To Solve a 19X19 System of Nonlinear Equations, Third Edition
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[24] Testing the Domino Method of Nonlinear Integer/Continuous/Discrete Programming with a Nonlinear System of Diophantine Equations from the Literature
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[25] A Unified Computer Program for Schittkowski’s Test Problem 395 but with 15000 Unknowns instead of 50 Unknowns
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[26] Solving Load Flow Problems of Power System by Explicit Pseudo-Transient Continuation (E-ψtc) Method
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[27] Testing the Domino Method of General Integer/Continuous/Mixed Nonlinear Programming with Brown's Almost Linear System of 2000 Equations/Unknowns
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[28] A double optimal iterative algorithm in an affine Krylov subspace for solving nonlinear algebraic equations
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[29] Seeking an Integer Solution to a System of 5010 Nonlinear Equations from the Literature, Second Edition
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[30] Seeking an Integer Solution to a Rosenbrock System of 13100 Simultaneous Equations
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[31] 14 RANDOMIZE JJJJ 16 M=-1D+ 50 91 FOR KK= 1 TO 155 94 A (KK)= RND 95 NEXT KK
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[32] A New Fast Method Used For Calculating Power Flow Based on ODE
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[33] Explicit pseudo-transient continuation
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[34] Numerical Solution for Super Large Scale Systems
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[35] Applied research of a new ODE method in the power flow computation of power system
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[36] A Globally Optimal Iterative Algorithm Using the Best Descent Vector x= λ [αcF+ BT F], with the Critical Value αc, for Solving a System of Nonlinear Algebraic Equations F (x)= 0
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[37] A globally optimal iterative algorithm using the best descent vector x= λ [αcF+ BT F], with the critical value αc, for solving a system of nonlinear algebraic …
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[38] A globally optimal iterative algorithm using the best descent vector x= λ [αcF+ BT F], with the critical value αc, for solving a system of nonlinear algebraic …
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[39] An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F (x)= 0, Using the System of ODEs with an Optimum α in x= λ [αF+(1-α) BTF]; Bij= …
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[40] A Further Study on Using x= λ [αR+ βP](P= F-R (F. R)/|| R|| 2) and x= λ [αF+ βP*](P*= R-F (F. R)/|| F|| 2) in Iteratively Solving the Nonlinear System of Algebraic Equations F (x)= 0
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[41] Solving Various Large Scale Systems by a New ODE Method
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[42] Simple" residual-norm" based algorithms, for the solution of a large system of non-linear algebraic equations, which converge faster than the Newton's method
Computer Modeling in Engineering & Sciences(CMES), 2011
[43] An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F(x) = 0, Using the System of ODEs with an Optimum α in ˙x = λ[ αF+(1−α)BTF];Bij = ∂Fi/∂xj
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[44] Solving large scale unconstrained minimization problems by a new ODE numerical integration method
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[45] An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F (x)= 0, Using the System of ODEs with an Optimum α in x= λ [αF+(1-α) BTF]; Bij …
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[46] An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F (x)= 0, Using the System of ODEs with an Optimum α in x= λ [αF+(1-α) BTF]; …
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[47] Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear systems
Computer Modeling in Engineering & Sciences(CMES), 2010
[48] Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear …
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[49] Novel algorithms based on the conjugate gradient method for inverting ill-conditioned matrices, and a new regularization method to solve ill-posed linear …
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[50] A Unified Computer Program for Schittkowski's Test Problem 395 but with 2000 Unknowns instead of 50 Unknowns
SIGMA, 2000
[51] Testing the Domino Method of General Integer/Continuous/Mixed Nonlinear Programming with Brown's Barely Nonlinear System of 30000 Equations/Unknowns
[52] Solving in General Integers a Nonlinear System of Four Simultaneous Nonlinear Equations
[53] Software for Solving a Discrete Boundary Value Problem
[54] Testing the Domino Method of General Integer/Continuous/Mixed Nonlinear Programming with Brown's Barely Nonlinear System of 15000 Equations/Unknowns
[55] A Computer Program Solving a Nonlinear System of Equations with Continuous Variables, Improved Edition
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