Search for dissertations about: "Triangular"

Showing result 1 - 5 of 112 swedish dissertations containing the word Triangular.

  2. 1. Towards efficient overflow-free solvers for systems of triangular type

    Author : Angelika Beatrix Schwarz; Lars Karlsson; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Computer Science; datalogi;

    Abstract : Triangular linear systems are fundamental in numerical linear algebra. A triangular linear system has a straight-forward and efficient solution strategy, namely forward substitution for lower triangular systems and backward substitution for upper triangular systems. READ MORE

  4. 2. VLSI aspects on inversion in finite fields

    Author : Mikael Olofsson; Christof Paar; Linköpings universitet; []
    Keywords : VLSI; Inversion; Finite Fields; Area; Delay; Power dissipation; Irreducible polynomials; Polynomial basis; Triangular basis; Normal basis; Dual basis; Tower fields.; TECHNOLOGY; TEKNIKVETENSKAP;

    Abstract : Different algorithms and architectures for inversion in finite extension fields are studied. The investigation is restricted to fields of characteristic two. Based on a simple transistor model, various architectures are compared with respect to delay, area requirement, and energy consumption. READ MORE

  5. 3. Improving the efficiency of eigenvector-related computations

    Author : Angelika Beatrix Schwarz; Lars Karlsson; Bo Kågström; Carl Christian Kjelgaard Mikkelsen; Miroslav Tůma; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; high-performance computing; standard non-symmetric eigenvalue problem; triangular Sylvester equation; tiled algorithms; task parallelism;

    Abstract : An effective strategy in dense linear algebra is the design of algorithms as tiled algorithms. Tiled algorithms that express the bulk of the computation as matrix-matrix operations (level-3 BLAS) have proven successful in achieving high performance on cache-based architectures. READ MORE

  6. 4. Numerical and Symbolic Methods for Dynamic Optimization

    Author : Fredrik Magnusson; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; dynamic optimization; differential-algebraic equations; Modelica; direct collocation; block-triangular ordering;

    Abstract : Mathematical optimization is becoming increasingly important for engineering in general and control in particular. This thesis deals with numerical methods, primarily direct collocation, and symbolic methods, primarily block-triangular ordering and tearing, for numerical solution of general dynamic optimization problems involving dynamical systems modeled by large-scale differential-algebraic equations (DAE). READ MORE

  7. 5. Clinical and arthroscopic assessment of wrist ligament injuries and instability

    Author : Jonny K Andersson; Göteborgs universitet; []
    Keywords : MEDICIN OCH HÄLSOVETENSKAP; MEDICAL AND HEALTH SCIENCES; wrist; wrist arthroscopy; carpal ligaments; scapholunate ligament; lunotriquetral ligament; triangular fibrocartilage complex; distal radio-ulnar joint; instability; magnetic resonance imaging; forearm rotation torque; children; adolescents;

    Abstract : Wrist ligament injuries are common after trauma, especially when concomitant dislocated radius fractures are present. The diagnostics of scapholunate (SL), lunotriquetral (LT) and triangular fibrocartilage complex (TFCC) injuries are challenging and most often dependent on magnetic resonance imaging (MRI) examination or invasive arthroscopy. READ MORE