Inverse nonnegative matrices and Kuttler's theorem. Topology of the solution set and Jansson's algorithm. ![]() Method of Hansen-Bliek-Rohn and a comparison of methods. ![]() Iterative methods: initial enclosure, Jacobi, Gauss-Seidel and Krawczyk methods (+bounds for overestimation), epsilon-inflation method.Īn application of the epsilon-inflation method: verification in linear equations solving. Interval Gaussian elimination for M-matrices. Methods for the square case: preconditioning, residual form, Interval Gaussian elimination. Interval systems of linear equations: The solution set and characterization of Oettli-Prager, orthant decomposition, NP-hardness of testing solvability. Interval functions: inclusion isotonicity, interval extension, natural interval extension, Fundamental theorem of interval analysis. Motivation for interval computation (numerical issues, computer assisted proofs, representation of uncertainty.). ![]() Just write me an e-mail and we will agree on a date. The exam terms are negotiated individually. Tutorials are conducted by Elif Garajová. Interval methods (NOPT051), winter semester 2021/2022
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