Search for dissertations about: "Sylvester-type matrix equations"

Found 4 swedish dissertations containing the words Sylvester-type matrix equations.

2. 1. Numerical methods for Sylvester-type matrix equations and nonlinear eigenvalue problems

   Author : Emil Ringh; Elias Jarlebring; Johan Karlsson; Per Enqvist; Daniel Kressner; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matrix equations; Lyapunov equation; Sylvester equation; nonlinear eigenvalue problems; two-parameter eigenvalue problems; Krylov methods; iterative methods; preconditioning; projection methods; Matrisekvationer; Lyapunovekvationen; Sylvesterekvationen; ickelinjära egenvärdesproblem; två-parameters egenvärdesproblem; Krylovmetoder; iterativa metoder; förkonditionering; projektionsmetoder; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics; Optimization and Systems Theory; Optimeringslära och systemteori; Numerical Analysis; Numerisk analys;

   Abstract : Linear matrix equations and nonlinear eigenvalue problems (NEP) appear in a wide variety of applications in science and engineering. Important special cases of the former are the Lyapunov equation, the Sylvester equation, and their respective generalizations. These appear, e.g. READ MORE

4. 2. Algorithms and Library Software for Periodic and Parallel Eigenvalue Reordering and Sylvester-Type Matrix Equations with Condition Estimation

   Author : Robert Granat; Bo Kågström; Isak Jonsson; Volker Mehrmann; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; periodic eigenvalue problems; product eigenvalue problems; periodic Schur form; periodic eigenvalue reordering; periodic eigenspaces; parallel algorithms; Sylvester-type matrix equations; parallel eigenvalue reordering; condition estimation; Computer science; Datavetenskap;

   Abstract : This Thesis contains contributions in two different but closely related subfields of Scientific and Parallel Computing which arise in the context of various eigenvalue problems: periodic and parallel eigenvalue reordering and parallel algorithms for Sylvestertype matrix equations with applications in condition estimation.Many real world phenomena behave periodically, e. READ MORE

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

   Author : Isak Jonsson; Bo Kågström; Zhaojun Bai; Umeå universitet; []
   Keywords : 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;

   Abstract : 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. READ MORE

6. 4. Tools for Structured Matrix Computations : Stratifications and Coupled Sylvester Equations

   Author : Andrii Dmytryshyn; Bo Kågström; Volker Mehrmann; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : Developing theory, algorithms, and software tools for analyzing matrix pencils whose matrices have various structures are contemporary research problems. Such matrices are often coming from discretizations of systems of differential-algebraic equations. READ MORE