Teaching GuideTerm
Faculty of Computer Science
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Grao en Ciencia e Enxeñaría de Datos
 Subjects
  Numerical Methods for Data Science
   Contents
Topic Sub-topic
Basic concepts in numerical methods: convergence, errors and order.
Numerical methods for nonlinear equations Bisection, secant method, Regula Falsilla, fixed point method and Newton-Raphson
Numerical methods for the solution of large linear systems Direct and iterative methods
Numerical methods for approximating eigenvalues and eigenvectors Power methods. QR method.
Methods for storing large matrices in the computer
Numerical methods for solving nonlinear systems of equations Fixed point methods. Newton's method.
Numerical methods for optimization Gradient and Conjugate gradient methods.
Line-search methods.
Newton and quasi-Newton methods.
Global optimization methods and two-phase methods.
Numerical interpolation in one and several variables.
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