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Arnoldi iteration
Formal sciences
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Numerical analysis
Related lectures (32)
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Resolution Sequence: Defining a Procedure
Explains the systematic procedure for solving flow sheets and stream calculations.
Deformation Analysis in Elastic Solids
Explores manipulation of 3D arrays, barycenters, shape matrices, Jacobians, eigendecomposition, and visualization in elastic solids.
Calcul de valeurs propres
Covers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.
Diagonalizable Matrices: Eigenvectors and Power Iteration
Explores diagonalizable matrices, eigenvectors, and power iteration methods for dominant eigenvectors.
NumPy: Array Manipulation and Broadcasting
Covers array creation, indexing, manipulation, and broadcasting using NumPy in Python.
Loops: Iteration and Simplification
Covers the concept of loops in programming, including for, while, and do-while loops.
Regression: High Dimensions
Explores linear regression in high dimensions and practical house price prediction from a dataset.
Matrices and Networks
Explores the application of matrices and eigendecompositions in networks.
Descent methods and line search: Finiteness of the line search algorithm
Explores the Wolfe conditions for line search algorithms and proves the finiteness of the line search parameter.
Iterative Methods: Linear Systems
Covers iterative methods for solving linear systems and discusses convergence criteria and spectral radius.