Sökning: "method of conjugate gradients"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden method of conjugate gradients.
1. On Methods for Solving Symmetric Systems of Linear Equations Arising in Optimization
Sammanfattning : In this thesis we present research on mathematical properties of methods for solv- ing symmetric systems of linear equations that arise in various optimization problem formulations and in methods for solving such problems.In the first and third paper (Paper A and Paper C), we consider the connection be- tween the method of conjugate gradients and quasi-Newton methods on strictly convex quadratic optimization problems or equivalently on a symmetric system of linear equa- tions with a positive definite matrix. LÄS MER
2. Parallelizing the Method of Conjugate Gradients for Shared Memory Architectures
Sammanfattning : Solving Partial Differential Equations (PDEs) is an important problem in many fields of science and engineering. For most real-world problems modeled by PDEs, we can only approximate the solution using numerical methods. Many of these numerical methods result in very large systems of linear equations. LÄS MER
3. Approaches to accelerate methods for solving systems of equations arising in nonlinear optimization
Sammanfattning : Methods for solving nonlinear optimization problems typically involve solving systems of equations. This thesis concerns approaches for accelerating some of those methods. In our setting, accelerating involves finding a trade-off between the computational cost of an iteration and the quality of the computed search direction. LÄS MER
4. Iterative and Adaptive PDE Solvers for Shared Memory Architectures
Sammanfattning : Scientific computing is used frequently in an increasing number of disciplines to accelerate scientific discovery. Many such computing problems involve the numerical solution of partial differential equations (PDE). LÄS MER
5. Three-dimensional forward modelling and inversion of controlled-source electromagnetic data using the edge-based finite-element method
Sammanfattning : Electromagnetic geophysical methods are applied to investigate anomalous subsurface structures exhibiting contrasts in electrical resistivity, as for example in mineral exploration or geothermal areas. When evaluating electromagnetic data, one big challenge is to account for full three-dimensional measurement setups and subsurface scenarios. LÄS MER