Search for dissertations about: "Inexact Newton method"

Found 2 swedish dissertations containing the words Inexact Newton method.

2. 1. On Numerical Solution Methods for Block-Structured Discrete Systems

   Author : Petia Boyanova; Maya Neytcheva; Oleg Iliev; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Preconditioning techniques; Finite element method; Two-by-two block matrices; Optimal order methods; AMLI method; Cahn-Hilliard equation; Multiphase flow; Inexact Newton method; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Abstract : The development, analysis, and implementation of efficient methods to solve algebraic systems of equations are main research directions in the field of numerical simulation and are the focus of this thesis. Due to their lesser demands for computer resources, iterative solution methods are the choice to make, when very large scale simulations have to be performed. READ MORE

4. 2. Subspace Computations via Matrix Decompositions and Geometric Optimization

   Author : Lennart Simonsson; Axel Ruhe; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Numerical Analysis; Rank-revealing UTV; Jacobi-Davidson algorithm; Decomposition; Grassmann type algorithms; Numerical analysis; Numerisk analys;

   Abstract : This thesis is concerned with the computation of certain subspaces connected to a given matrix, where the closely related problem of approximating the matrix with one of lower rank is given special attention. To determine the rank and obtain bases for fundamental subspaces such as the range and null space of a matrix, computing the singular value decomposition (SVD) is the standard method. READ MORE