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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Roots Of Nonlinear Equations (G.1.5) > Systems Of Equations (G.1.5...)
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1-10 of 24
Reviews about "Systems Of Equations (G.1.5...)":
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A simple and efficient method with high order convergence for solving systems of nonlinear equations
Xiao X., Yin H. Computers & Mathematics with Applications 69(10): 1220-1231, 2015. Type: Article
Efficient methods for the solution of n-dimensional systems of nonlinear equations are critical for numerous applications. For the system F(x) = 0, the well-known Newton̵...
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Sep 30 2015 |
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Nonclassical mathematical model in geoinformatics to solve dynamic problems for nonequilibrium nonisothermal seepage fields
Bulavatsky V. Cybernetics and Systems Analysis 47(6): 898-906, 2011. Type: Article
In the modern age of sustainability, computational studies have become key players in the optimal protection of the environment. In particular, mathematical models that describe the dynamic behavior of complex seepage processes play a ...
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Mar 27 2012 |
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Systems of algebraic equations with bad reduction
Nauheim R. Journal of Symbolic Computation 25(5): 619-641, 1998. Type: Article
Nauheim describes a new method of facilitating the solution of sets of nonlinear algebraic equations, using the notions of modular arithmetic. He discusses implementation in MAPLE and gives the detailed results of applying the method t...
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Oct 1 1998 |
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Algorithm 777: HOMPACK90: a suite of Fortran 90 codes for globally convergent homotopy algorithms
Watson L., Sosonkina M., Melville R., Morgan A., Walker H. ACM Transactions on Mathematical Software 23(4): 514-549, 1997. Type: Article
A significant update, using Fortran 90, of an earlier package for finding zeros or fixed points of nonlinear systems is presented. Globally convergent probability-one homotopy algorithms are implemented. The presentation concentrates o...
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Oct 1 1998 |
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Preconditioning linearized equations
Hansen E. Computing 58(2): 187-196, 1997. Type: Article
A new strategy for preconditioning interval methods for the solution of nonlinear equations is developed. Previously, the interval Jacobian matrix was first determined, and then an approximate inverse of the center of this interval mat...
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Jul 1 1998 |
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Computation of a simple bifurcation point using one singular value decomposition nearby
Shen Y. Computing 58(4): 335-350, 1997. Type: Article
An approach using singular value decomposition to find a simple bifurcation point is presented and analyzed. The iterative algorithm developed must be provided with a good starting point, but no auxiliary vectors are required from the ...
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Apr 1 1998 |
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Algorithm 768: TENSOLVE: a software package for solving systems of nonlinear equations and nonlinear least-squares problems using tensor methods
Bouaricha A., Schnabel R. ACM Transactions on Mathematical Software 23(2): 174-195, 1997. Type: Article
For F : &RR;n → &RR;m, m ≥ n, the problem of minimizing ∥ F ( x ) ∥ 2 encompasses the nonlinear root-finding problem (when <...
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Mar 1 1998 |
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Note on the end game in homotopy zero curve tracking
Sosonkina M., Watson L., Stewart D. ACM Transactions on Mathematical Software 22(3): 281-287, 1996. Type: Article
In essence, the homotopy method for solving a system of nonlinear equations f ( x ) = 0 consists of choosing a function h ( x , t ) such that h ( x , 1 ) = f ( x ) and h...
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Feb 1 1997 |
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A simple solver for linear equations containing nonlinear operators
Ramsey N. Software--Practice & Experience 26(4): 467-487, 1996. Type: Article
A method for implementing Gaussian elimination using a technique called balancing is described. The paper includes a basic solving engine, an extension to use balances to eliminate terms containing nonlinear operators, and the code tha...
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Dec 1 1996 |
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A reliable method for solving nonlinear systems of equations of few variables
Kálovics F. Computing 48(3-4): 291-302, 1992. Type: Article
The author presents a new method of solving nonlinear systems of equations in a compact m -dimensional interval by using the notions of indicator functions and cover systems. If the system to be solved inside the
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Sep 1 1993 |
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