Results 231 to 240 of about 306,033 (284)

Quadratic convergence of crisfield's method

Computers & Structures, 1983
Abstract Crisfield's method is a geometrically appealing variant of Newton's method used to track equilibrium curves in nonlinear structural analysis. A rigorous proof of quadratic convergence in one dimension is given, and numerical results are given for a complicated 21-dimensional lamella dome problem.
Watson, Layne T., Holzer, Siegfried M.
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A Quadratically Convergent Krawczyk-Like Algorithm

SIAM Journal on Numerical Analysis, 1983
In this paper we introduce a method for computing a solution of a nonlinear system, which is similar to that proposed by R. Krawczyk [Computing, 4 (1969), pp. 187–201]. Our method, however, needs considerably less work per step. Starting with an interval vector, we give a criterion under which the method is convergent to the solution of the system if a
Alefeld, G., Platzoeder, L.
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More quadratically converging algorithms for 𝜋

Mathematics of Computation, 1986
We present a quadratically converging algorithm for π \pi based on a formula of Legendre’s for complete elliptic integrals of modulus sin ⁡ ( π / 12 ) \sin (\pi /12) and the arithmetic-geometric mean iteration of Gauss and Legendre.
Borwein, J. M., Borwein, P. B.
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Quadratic convergence in interval arithmetic, part I

BIT, 1972
The size of the error incurred by one operation in an interval arithmetic procedure depends on the extent to which the operands are dependent, i.e., depend on the same initial variables. In this part we will investigate the effect of such dependence. Our results are applied to prove the quadratic convergence of the “centered form” and of a method of ...
Chuba, William, Miller, Webb
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A quadratically convergent SCF procedure

Computer Physics Communications, 1979
Abstract An exponential transformation of spin-orbitals is used to build a method for obtaining the SCF wavefunctions without going through the solution of a pseudo-eigenvalue problem. The method used is of a Newton—Raphson type since the successive derivatives of the energy are easily obtained.
J. Douady, Y. Ellinger, R. Subra, B. Levy   +3 more
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Quadratically Convergent Optimal Power Flow

IEEE Transactions on Power Apparatus and Systems, 1984
A newly developed sparse implementation of an optimization method using exact second derivatives is applied to the optimal power flow problem. Four utility systems are studied using a variety of objective functions, including fuel costs, active and reactive losses, and new shunt capacitors. Systems solved range from 350 buses to 2000 buses. Comparisons
R. C. Burchett, H. H. Happ, D. R. Vierath   +2 more
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A Quadratically-Converging Nudged Elastic Band Optimizer

Journal of Chemical Theory and Computation, 2013
Nudged elastic band (NEB) is a well established chain-of-states method to locate the minimum energy path in configuration space. Unfortunately, existing search algorithms suffer from slow convergence. We provide an analytic derivative of the nudged elastic band force, enabling a full Newton-Raphson optimization. For molecular systems, the components of
Matthias U, Bohner, Jan, Meisner, Johannes, Kästner   +2 more
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Quadratic multiplier method convergence

Journal of Optimization Theory and Applications, 1976
In a recent paper (Ref. 1), the author briefly mentioned a variant of Hestenes' method of multipliers which would converge quadratically. This note examines that method in detail and provides some examples. In the quadratic-linear case, this algorithm converges in one iteration.
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Quadratic convergence for cell-centered grids

Applied Numerical Mathematics, 1988
Rectangular cell-centered finite difference approximations of a plane pressure-flow equation in a rectangular region with no-flow conditions at the boundary are considered. Despite a formal inconsistency in the finite difference equations, due to the use of cell-centered rather than point- distributed grids, it is shown that the solution errors are \(O(
Forsyth, P. A. jun., Sammon, P. H.
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Bézier clipping is quadratically convergent

Computer Aided Geometric Design, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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