Sökning: "konjugerade gradientmetoden"
Hittade 4 avhandlingar innehållade orden konjugerade gradientmetoden.
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. 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
3. Algorithms for a Partially Regularized Least Squares Problem
Sammanfattning : Vid analys av vattenprover tagna från t.ex. ett vattendrag betäms halten av olika ämnen. Dessa halter är ofta beroende av vattenföringen. LÄS MER
4. Regularization methods for solving Cauchy problems for elliptic and degenerate elliptic equations
Sammanfattning : In this thesis, we study Cauchy problems for the elliptic and degenerate elliptic equations. These problems are ill-posed. We split the boundary of the domain into two parts. On one of them, say Γ0, we have available Cauchy data and on remaining part Γ1 we introduce unknown Robin data. LÄS MER