Solving Separable Nonlinear Equations Using LU Factorization
نویسندگان
چکیده
منابع مشابه
Solving systems of nonlinear equations using decomposition technique
A systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singul...
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Systems of linear equations can be represented by matrix equations of the form A~x = ~b. LU Factorization is a method for solving systems in this form by transforming the matrix A into a form that makes backwards and forward susbstitution feasible. A common algorithm for LU factorization is Gaussian elimination, which I used for my serial and parallel implementations. I investigated using async...
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Many of the currently popular \block algorithms" are scalar algorithms in which the operations have been grouped and reordered into matrix operations. One genuine block algorithm in practical use is block LU factorization, and this has recently been shown by Demmel and Higham to be unstable in general. It is shown here that block LU factorization is stable if A is block diagonally dominant by c...
متن کاملsolving systems of nonlinear equations using decomposition technique
a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...
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ژورنال
عنوان ژورنال: ISRN Mathematical Analysis
سال: 2013
ISSN: 2090-4665
DOI: 10.1155/2013/258072