Approximate linearization

Related lectures (30)

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Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.

Covers linear algebra, focusing on systems of equations and their solutions.

Covers the basics of linear algebra, focusing on solving systems of linear equations through operations to triangular form.

Introduces linear equations with real coefficients, systems, solutions, and representations in 2D and 3D spaces.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Covers iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods.

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.