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Vectors and Matrices- Basic Concepts (Review)
[...]
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Solution of Linear Equations (Direct Methods)
[...]
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Row
and Column Scaling [...]
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Iterative Methods for the Solution of Linear Equations
[...]
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Conjugate Gradient Method [...]
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MATLAB Contour plots to define Matrix properties
[...]
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Machine Representation and Control Structures
[...]
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An
introduction to Finite Volume Discretization [...]
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Transport with Convection and Diffusion
[...]
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Zeroes of a Non-Linear Equation [...]
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Application of Non-Linear Equations in Chemical Engineering
[...]
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Multidimensional Newton Method [...]
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Newton Method, Step Size Control and Line Search Methods
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Secant Method (Broyden's Method in Multidimensions)
[...]
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Unconstrained Optimization [...]
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Constrained Optimization [...]
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Parameter Estimation (Linear and Non-Linear)
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Method of Weighted Residuals I [...]
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Method of Weighted Residuals 2 [...]
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Spectral Approximation - Part 1
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Spectral Approximation - Part 2
[...]
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Notes on Technical Paper Publication in Journals
[...]
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Zhang, L. and Linninger, A. " Newton, Steepest Descent and Trust Region Methods: Application in Unconstrained optimization
and Solution of Nonlinear Equations", Feb., 2005 [...]
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Xenos, M., and
Linninger A.A., "Iterative Methods for Solving Algebraic Systems"
UIC-LPPD-030105, April, 2005.[...]