Sökning: "Cholesky factorization"

Hittade 4 avhandlingar innehållade orden Cholesky factorization.

  1. 1. Recursive Blocked Algorithms, Data Structures, and High-Performance Software for Solving Linear Systems and Matrix Equations

    Författare :Isak Jonsson; Bo Kågström; Zhaojun Bai; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Datorberäkningar och högpresterande datorer; Recursive algorithm; recursive blocked format; Cholesky factorization; Sylvester-type equations; automatic blocking; superscalar; GEMM-based; RECSY library; Datorberäkningar och högpresterande datorer; Computer engineering; Datorteknik; business data processing; administrativ databehandling;

    Sammanfattning : This thesis deals with the development of efficient and reliable algorithms and library software for factorizing matrices and solving matrix equations on high-performance computer systems. The architectures of today's computers consist of multiple processors, each with multiple functional units. LÄS MER

  3. 2. Scheduling of parallel matrix computations and data layout conversion for HPC and Multi-Core Architectures

    Författare :Lars Karlsson; Bo Kågström; Erik Elmroth; Charles Van Loan; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computer and systems science; Data- och systemvetenskap; data- och systemvetenskap; computer and systems sciences;

    Sammanfattning : Dense linear algebra represents fundamental building blocks in many computational science and engineering applications. The dense linear algebra algorithms must be numerically stable, robust, and reliable in order to be usable as black-box solvers by expert as well as non-expert users. LÄS MER

  4. 3. High Performance Computing for the Optimization of Radiation Therapy Treatment Plans

    Författare :Felix Liu; Stefano Markidis; Artur Podobas; Albin Fredriksson; David Keyes; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; HPC; Radiation Therapy; Optimization; Numerical Linear Algebra; Interior Point Methods; Datalogi; Computer Science;

    Sammanfattning : Radiation therapy is a clinical field in which computer simulations play a crucial role. Before patients undergo radiation therapy, an individual treatment plan for each patient needs to be created based on the specifics of their case (a process often referred to as \emph{treatment planning}). LÄS MER

  5. 4. Advances in Task-Based Parallel Programming for Distributed Memory Architectures

    Författare :Afshin Zafari; Elisabeth Larsson; George Bosilca; Uppsala universitet; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; parallel programming; task-based programming; distributed memory system; scientific computing; hierarchical data; hierarchical tasks;

    Sammanfattning : It has become common knowledge that parallel programming is needed for scientific applications, particularly for running large scale simulations. Different programming models are introduced for simplifying parallel programming, while enabling an application to use the full computational capacity of the hardware. LÄS MER