نتایج جستجو برای: chebyshev halley method

تعداد نتایج: 1633317  

Journal: :Applied Mathematics Letters 1997

Journal: :SIAM J. Matrix Analysis Applications 2010
Yuji Nakatsukasa Zhaojun Bai François Gygi

We introduce a dynamically weighted Halley (DWH) iteration for computing the polar decomposition of a matrix, and prove that the new method is globally and asymptotically cubically convergent. For matrices with condition number no greater than 1016, the DWH method needs at most 6 iterations for convergence with the tolerance 10−16. The Halley iteration can be implemented via QR decompositions w...

Journal: :Computers & Mathematics with Applications 1998

Journal: :international journal of advanced design and manufacturing technology 0
sedigheh shahmirzaee jeshvaghany department of mechanical and aerospace engineering, science and research branch, islamic azad university, tehran, iran farshad pazooki department of mechanical and aerospace engineering, science and research branch, islamic azad university, tehran, iran. alireza basohbat novinzaddeh department of aerospace engineering, k.n.toosi university of technology, tehran, iran

in this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. the method was based on orthogonal polynomial approximation. this method consists of reducing the optimal control problem to a system of algebraic equations by expanding the state and control vector as chebyshev or legendre polynomials with undetermined...

Journal: :Quarterly of Applied Mathematics 1953

Journal: :J. Computational Applied Mathematics 2010
B. K. Muite

In solving semilinear initial boundary value problems with prescribed non-periodic boundary conditions using implicit-explicit and implicit time stepping schemes, both the function and derivatives of the function may need to be computed accurately at each time step. To determine the best Chebyshev collocation method to do this, the accuracy of the real space Chebyshev differentiation, spectral ...

Journal: :J. Computational Applied Mathematics 2012
Geir Gundersen Trond Steihaug

We consider solving the unconstrained minimization problem using an iterative method derived from the third order Super Halley method. The Super Halley method requires solution of two linear systems of equations. We show a practical implementation using an iterative method to solve the linear systems. This paper introduces an array of arrays (jagged) data structure for storing the second and th...

Journal: :iranian journal of science and technology (sciences) 2010
g. b. loghmani

this paper presents an efficient modification of the variational iteration method for solvingboundary value problems using the chebyshev polynomials. the proposed method can be applied to linearand nonlinear models. the scheme is tested for some examples and the obtained results demonstrate thereliability and efficiency of the proposed method.

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