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 20 of 81 for “"Systems of Equations"”.
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Misspecification testing in systems of equations
This dissertation is a set of related papers on the application of the "principle of statistical adequacy" to single and multi-equation econometric models. The first chapter lays out the intended scope of the dissertation and defines the principle of statistical adequacy. The second chapter reviews …
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Solution of Nonsymmetric Systems of Equations on a Multiprocessor
We consider the iterative solution of large sparse linear systems of equations arising from elliptic and parabolic partial differential equations in two and three space dimensions. Specifically, we focus our attention on non-symmetric systems of equations whose eigenvalues lie on both sides of the …
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The updated subspaces method in optimization and in solving linear systems of equations
… minimization problems, has flexibility of choosing different quadratic approximation at each iteration and therefore has potential of improving the rate of convergence given by the quasi-Newton method. In this dissertation, the convergence behavior of the UCS method is investigated and …
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POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations
… finding all the isolated solutions to polynomial systems of equations. After many years of development, homotopy path trackers based on probability-one homotopy methods are reliable and fast. Now, theoretical advances reducing the number of homotopy paths that must be tracked, and in the handling …
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Solving asymmetric variational inequality problems and systems of equations with generalized nonlinear programming algorithms
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1985.
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Revised Bloom's Taxonomy: Providing Structure for Levels of Learning Required in Systems of Equations in Algebra 1
… by teachers to support student understanding of systems of equations using the following methods of graphing, substitution, and elimination. The lessons place an emphasis on higher level thinking to promote learning experiences throughout the unit. The lessons are aligned to Common Core State …
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Solving Systems of Equations and Inequalities: An Algebra Unit Plan Aligned to the New York State Common Core
As a response to both the implementation of the Common Core State Standards (CCSS) and a recent approval of a change by the New York State Board of Regents to allow multiple pathways for graduation, this curriculum project, which will be referred to as a unit plan throughout the paper, was designed …
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Accelerating the Jacobi Iteration for Solving Linear Systems of Equations using Theory, Machine Learning, and High Performance Computing
… typically require solving large sparse linear systems of equations which result from the discretization of a partial differential equation (PDE) by some numerical method. The solution of these linear systems often takes a vast amount of computational time to compute. Solving these linear …
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Multi-scale problems: an improved non-intrusive algorithm that enhances FEA platforms with the generalized finite element method; An improved preconditioned conjugate gradient solver for hierarchical generalized finite element systems of equations
… element method (FEM) discretizes an object of interest, say a cube, and solves for its dis placement and stress under a certain loading. The FEM is used by many commercial softwares. The generalized FEM (GFEM) adds information in the solution process that improves the displacement and stress …
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Smaller steps for faster algorithms : a new approach to solving linear systems
… time update steps, and we show how a mix of of data structures, randomization, and results from numerical analysis allow us to achieve faster algorithms for solving linear systems in a variety of different regimes. First we present a simple combinatorial algorithm for solving symmetric …
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Preconditioning For Matrix Computation
<p>Preconditioning is a classical subject of numerical solution of linear systems of equations. The goal is to turn a linear system into another one which is easier to solve. The two central subjects of numerical matrix computations are LIN-SOLVE, that is, the solution of linear systems of …
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Técnicas iterativas para a solução de sistemas de equações lineares oriundos do método dos elementos de contorno
… technique employed so far for solving BEM linear systems of equations. Although trustful mainly when pivoting is employed, Gauss elimination is very expensive. This work aims to investigate the possibility of applying iterative "solvers" to BEM analysis, and to select (or work out) those which …
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A mathematical formulation of intelligent agents and their activities
The task of optimising a collection of objective functions subject to a set of constraints is as important to industry as it is ubiquitous. The importance of this task is evidenced by the amount of research on this subject that is currently in progress. Although this problem has been solved …
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Solving Nonlinear Aeronautical Problems Using the Carleman Linearization Method
… in aeronautics can be described in terms of nonlinear systems of equations. Carleman developed a technique to linearize such equations that could lead to analytical solutions of nonlinear problems. Nonlinear problems are difficult to solve in closed form and therefore the construction of …
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A Unit on Simultaneous Equations Designed to Limit Math Anxiety and Increase Interest for All Learners
… mathematics. The content focus is Algebra 1 Systems of Equations. The curriculum is aimed toward students who learn most efficiently in non-traditional ways. The curriculum incorporates collaborative learning and mathematical literacy to support students as they analyze and create …
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Solving Systems of Linear Equations in Algebra I Through Team-Based Inquiry Learning
… inquiry learning (TBIL) lens during the systems of linear equations unit in Algebra I. Team-based inquiry learning combines the use of partner and group work with open-ended questioning to allow students to explore mathematics with their peers. Team-based inquiry learning can be used in …
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Um algoritmo paralelo para a solução direta de sistemas de equações do MEF em redes de transputers
… direct solution techniques for finite element systems of equations in distributed memory machines. The standard Crout decomposition algorithm is employed and the coefficient matrix is stored in skyline format (i.e., the active column reduction method). The factorization phase is carried out in …
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Row Projection Methods for Linear Systems
Row projection (RP) methods for solving linear systems of equations are algorithms that require orthogonal projections onto the set of solutions of subsets of the equations. RP methods are categorized and their convergence properties summarized and extended. An implementation approach is presented …
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A computer simulation of school district economics: modeling allocation effects of choice programs
… achievement. However, existing cost estimates of one such course, school choice programs, ignore significant non-linear allocation effects created by these policies. These effects are too complex for description by systems of equations; a computer simulation is required to create a more …
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Beyond the tanh method-looking for explicit travelling wave solutions to partial differential equations
… exact travelling wave solutions for evolution equations with polynomial nonlinearites. Mathematically, looking for travelling wave solutions is asking the question whether a given PDE has solutions invariant under a Galilean transformation; in such a case, it can be reduced to an ODE. We …
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