Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 17 of 17 for “"Diagonal matrix"”.
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The ratio gA/gV in cavity QCD
… and Low theorem is extended to include non-diagonal matrix elements and degenerate perturbation theory. The Sucher form of the Gell-Mann and Low theorem is employed to calculate corrections of order GFg² in the weak and strong coupling constants to gA and gv for neutron beta decay. Up and …
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Studies on quadratic matrix equations and riccati differential equations associated with regular m-matrices
The thesis is mainly about the quadratic matrix equation X2- EX- F = 0, where E is a diagonal matrix and F is a regular M-matrix. Quadratic matrix equations of this kind arise in noisy Wiener-Hopf problems for Markov chains. The solution of practical interest is a special M-matrix solution. The …
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Fractional principal components regression: a general approach to biased estimators
… = Fα̲ and F⁻ is a generalized inverse of a diagonal matrix P, the resulting estimators of α̲<sub>F</sub>, based on various forms of F, are shown to define the class of the fractional principal components estimators. In the fractional principal components framework, several new estimation …
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Determination of the Spectroscopic Quadrupole Moment of 40Ar
… analytical code, GOSIA, was used to extract the diagonal matrix element, h2+1 kE2k2+1 i = 0:00(4) eb. From the relation, h2+1 kE2k2+1 i = Qs 0:75793 , the Qs(2+1 ) was determined as +0:00(3) eb. This result indicates a spherical shape for 40Ar at the 2+1 state.
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Automatic design tool for robust radio frequency decoupling matrices in magnetic resonance imaging
… automated approach to design a robust decoupling matrix interfaced between the RF amplifiers and the coils. The decoupling matrix is optimized to ensure all forward power is delivered to the load. The decoupling condition dictates that the admittance matrix seen by power amplifiers with 50 Ohms …
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On the Formulation of a Hybrid Discontinuous Galerkin Finite Element Method (DG-FEM) for Multi-layered Shell Structures
… shells is presented at first. The Jacobian matrix and its determinant are also calculated. The weak form of the DG-FEM is next presented. In this case, the discontinuous basis functions can be employed for the displacement basis functions. The implementation details of the nonlinear FEM are …
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Three Essays on Testing for Cross-Sectional Dependence and Specification in Large Panel Data Models
… test for sphericity of the variance-covariance matrix</p> <p>in statistics. Since the errors are unobservable, the residuals from the</p> <p>fixed effects regression are used. The limiting distribution of the proposed</p> <p>test statistic is derived. Additionally, its finite sample properties …
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Global existence of reaction-diffusion equations over multiple domains
… Ωσ(k), D = diag(dk)is an m ?? m positive definite diagonal matrix, f : R ?? Rn?? Rm → Rm, u0 is a componentwise nonnegative function, and each Ωi is a bounded domain in Rn where ∂Ωi is a C2+αmanifold such that Ωi lies locally on one side of ∂Ωi and has unit outward normal η. Most physical processes …
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Ordering Strategies for Sparse Matrices in Chemical Process Simulation
… was found to outperform other methods when the matrix is to be solved a small number of times. A new version of the MNC orderings of Coon (1989), known as NMNC, is presented which runs in linear time and produces orderings which are amenable to solution using frontal methods. Iterative …
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Simulation of steady mixed convection in a lid-driven cavity filled with newtonian fluid by finite volume method
… were then solved iteratively using the Tri- Diagonal Matrix Algorithm coded in FORTRAN90. The present solutions obtained were then compared with those of previous studies and a good agreement was found. The numerical results were presented in the forms of isotherm and streamline. It was found …
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Variational Theory of Hot Dense Matter
… rho can be orthonormalized preserving their diagonal matrix elements of the Hamiltonian. This allows for the minimization of the free energy without corrections from the nonorthogonality of the correlated basis states, similar to that of the ground state energy. Samples of the microcanonical …
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General Weighted Optimality of Designed Experiments
… of a design's corresponding information matrix. The most common criteria implicitly assume equal interest in all effects and certain forms of information matrices tend to optimize them. However, these criteria can be poor assessments of a design when there is unequal interest in the …
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Application of modern control techniques to a distillation column
… changes. The proper choice of the values of a diagonal matrix in the precompensator of the controller required for accurate setpoint tracking has also been shown. By analogy with PI control, integral and derivative modes have been introduced into the controller to equip it with the ability to …
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The structure and average discrepancies of lattice rules for numerical integration
… in a canonical D - Z form in which D is a diagonal matrix whose diagonal entries are known as the invariants and Z is an integer matrix. Although D is unique in this canonical form, Z may be chosen in many different ways. Except for the case of so-called projection-regular and prime-power …
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Reduced order modelling of bone resorption and formation.
… have been proposed. The first is the graphical matrix method to visualise/project the multidimensional phase space of variables into diagonal matrix of regular combination of two-dimensional graphs. This significantly simplifies the analysis and, in principle, makes it possible to visualise the …
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New progress in hot-spots detection, partial-differential-equation-based model identification and statistical computation
… tensor decomposition, which is similar to the matrix context where it might be difficult to compute the inverse of a large matrix in general, but it will be straightforward to calculate the inverse of a large block diagonal matrix through the inverse of sub-matrices in the diagonal. The …
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D-optymalne chemiczne układy wagowe przy różnych postaciach macierzy kowariancji błędów losowych
… są różne od macierzy jednostkowej. W przypadku diagonalnej macierzy kowariancji błędów udowodniono górne oszacowanie wyznacznika macierzy informacji estymatorów parametrów w modelach układów wagowych o macierzach, których wiersze zawierają co najwyżej q elementów niezerowych. Układy wagowe …