Search for dissertations about: "Matrix equations"

Showing result 11 - 15 of 159 swedish dissertations containing the words Matrix equations.

  2. 11. Tools for Control System Design : Stratification of Matrix Pairs and Periodic Riccati Differential Equation Solvers

    Author : Stefan Johansson; Bo Kågström; Erik Elmroth; Paul Van Dooren; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; control system design; stratification; controllability; observability; matrix pair; canonical forms; linear quadratic regulator; periodic systems; periodic Riccati differential equation; Computer science; Datavetenskap; Numerical Analysis; numerisk analys;

    Abstract : Modern control theory is today an interdisciplinary area of research. Just as much as this can be problematic, it also provides a rich research environment where practice and theory meet. This Thesis is conducted in the borderline between computing science (numerical analysis) and applied control theory. READ MORE

  4. 12. On Estimation and Prediction in Linear Mixed Models : A new approach to studying equal BLUEs and BLUPs

    Author : Azadeh Chizarifard; Tatjana von Rosen; Katarzyna Filipiak; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Best linear unbiased estimator; Best linear unbiased predictor; Linear zero function; Matrix equations; statistik; Statistics;

    Abstract : Linear mixed models (LMMs) are widely used to analyze repeated, longitudinal, or clustered data in many disciplines, such as biology, medicine, psychology, sociology, economics, etc. One of the essential components of a linear mixed model is its covariance structure, i.e. READ MORE

  5. 13. Tensor Products of Highest Weight Representations and Skew-Symmetric Matrix Equations A+B+C=0

    Author : Ida Säfström; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Highest weight respresentation; tensor product decomposition; orthogonal algebra; skew-symmetric matrix; Horn’s conjecture; moment map; coadjoint orbit; flag manifold; general linear algebra; infinite dimensional unitary representation; general linear algebra;

    Abstract : The question of characterizing the eigenvalues for the sum of two Hermitian matrices, was solved in 1999, after almost a century of efforts. The saturation conjecture for GL_C(n) was proven by Knutson and Tao, filling in the last gap in Horn’s conjecture. READ MORE

  6. 14. Structural algorithms and perturbations in differential-algebraic equations

    Author : Henrik Tidefelt; Torkel Glad; Mats Jirstrand; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; differential-algebraic equations; index reduction; singular perturbation; Automatic control; Reglerteknik;

    Abstract : Den kvasilinjära formen av differential-algebraiska ekvationer är både en mycket allmängiltig generalisering av den linjära tidsinvarianta formen, och en form som visar sig lämpa sig väl för indexreduktionsmetoder som vi hoppas ska komma att bli både praktiskt tillämpbara och väl förstådda i framtiden.Kuperingsalgoritmen (engelska: the shuffle algorithm) användes ursprungligen för att bestämma konsistenta initialvillkor för linjära tidsinvarianta differential-algebraiska ekvationer, men har även andra tillämpningar, till exempel det grundläggande problemet numerisk integration. READ MORE

  7. 15. 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