Search for dissertations about: "quadratic equations"

Showing result 1 - 5 of 32 swedish dissertations containing the words quadratic equations.

  1. 1. On Methods for Solving Symmetric Systems of Linear Equations Arising in Optimization

    University dissertation from KTH Royal Institute of Technology

    Author : Tove Odland; KTH.; [2015]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; symmetric system of linear equations; method of conjugate gradients; quasi-Newton method; unconstrained optimization; unconstrained quadratic optimiza- tion; Krylov subspace method; unnormalized Lanczos vectors; minimum-residual method; symmetriska linjära ekvationssystem; konjugerade gradientmetoden; kvasi- Newtonmetoder; optimering utan bivillkor; kvadratisk optimering utan bivillkor; Kry- lovunderrumsmetoder; icke-normaliserade Lanczosvektorer; minimum-residualmetoden; Matematik; Mathematics;

    Abstract : 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. READ MORE

  2. 2. Mathematics textbooks for teaching An analysis of content knowledge and pedagogical content knowledge concerning algebra in Swedish upper secondary education

    University dissertation from Göteborg : Institutionen för pedagogik, kommunikation och lärande

    Author : Wang Wei Sönnerhed; [2011]
    Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; mathematics textbooks; school algebra; solving methods; factorization; solving quadratic equations; mathematics teaching; content knowledge; pedagogical content knowledge; geometrical models; algebra history; embedded teaching trajectories;

    Abstract : In school algebra, using different methods including factorization to solve quadratic equations is one common teaching and learning topic at upper secondary school level. This study is about analyzing the algebra content related to solving quadratic equations and the method of factorization as presented in Swedish mathematics textbooks with subject matter content knowledge (CK) and pedagogical content knowledge (PCK) as analytical tools. READ MORE

  3. 3. On Some Properties of Interior Methods for Optimization

    University dissertation from Stockholm : Matematik

    Author : Göran Sporre; KTH.; [2003]
    Keywords : Interior method; primal-dual interior method; linear programming; quadratic programming; nonlinear programming; semidefinite programming; weighted least-squares problems; central path;

    Abstract : This thesis consists of four independent papers concerningdifferent aspects of interior methods for optimization. Threeof the papers focus on theoretical aspects while the fourth oneconcerns some computational experiments. READ MORE

  4. 4. On Steady Water Waves and Their Properties

    University dissertation from KFS AB

    Author : Mats Ehrnström; Lunds universitet.; Lund University.; [2008]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Particle trajectories; Water waves; Vorticity; Maximum principles; Elliptic equations;

    Abstract : Abstract: This thesis consists of four papers related to various aspects of steady water waves. Paper I: Deep-water waves with vorticity: symmetry and rotational behaviour. We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. READ MORE

  5. 5. Homogenization of elliptic equations in thin cylinders and related qualitative problems

    University dissertation from Luleå : Luleå tekniska universitet

    Author : Iryna Pankratova; Luleå tekniska universitet.; [2009]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : The thesis consists of four closely related papers (A, B, C and D). Paper A concerns the study of the behaviour at infinity of solutions to second order elliptic equation with first order terms stated in a half-cylinder. READ MORE