234125 - Numerical Algorithms

Liner System of Equations# Gauss Elimination, Lu and Cholesky Decomposition, Positive Definite Matrices, Least Squares And Pseudo-inverse, Weighted Least-squares,tikhonov's Regularisation, Inner-products and Normed-vector Spaces, Orthogonality, Qr and Its Uses, Eigenvakues and Singular Values,the Svd Decomposition and Its Uses,itrative Methods For Solving Linear and Least-squares Problems, Matrix Induced Norms, Gershgorin's Theorem, The Power Method, Numerical Instability and Numerical Erros, Toeplitz and Circulant Matrices, Convolution, The Discrete Fourier Transform and The Fft, Iterative Solution to 1d Non-linear Problems# Bisection, Newton-raphson, and The Secant Algorithms and Their Convergence.

Faculty: Computer Science
|Undergraduate Studies

Pre-required courses

(104016 - Algebra 1/extended and 104281 - Infinitesimal Calculus 2 and 234114 - Introduction to Computer Science) or (104016 - Algebra 1/extended and 104032 - Calculus 2m and 234114 - Introduction to Computer Science) or (104032 - Calculus 2m and 104166 - Algebra Am and 234114 - Introduction to Computer Science) or (104166 - Algebra Am and 104281 - Infinitesimal Calculus 2 and 234114 - Introduction to Computer Science)

Parallel course

104032 - Calculus 2m 104281 - Infinitesimal Calculus 2

Course with no extra credit

34033 - Numerical Analysis M 34056 - Int. to Scientific and Eng. Computing 84135 - Numerical Analysis For Aerospace Engi. 95295 - Algebraic Methods For Data Science 104283 - Introduction to Numerical Analysis 234107 - Numerical Analysis 1

• A first course in numerical analysis / Anthony Ralston, Philip Rabinowitz. - Ralston, Anthony
• A first course in numerical methods - Ascher, Uri M.
• A first course in numerical methods - Ascher, Uri M.
• An introduction to numerical analysis / Endre Suli and David F. Mayers. - Suli, Endre
• Applied linear algebra - Olver, Peter J.
• Applied Linear Algebra [electronic resource] - Olver, Peter J.
• Handbook of mathematical functions with formulas, graphs and mathematical tables / edited by M. Abramowitz and I.A. Stegun.
• Handbook of mathematical functions with formulas, graphs, and mathematical tables / edited by Milton Abramowitz and Irene A. Stegun.
• Numerical analysis : mathematics of scientific computing - Kincaid, David R.
• Numerical analysis : mathematics of scientific computing / David Kincaid, Ward Cheney. - Kincaid, David R.
• Numerical analysis : mathematics of scientific computing / David Kincaid, Ward Cheney. - Kincaid, David R.
• Numerical methods - Dahlquist, Germund
• Numerical methods in scientific computing - Dahlquist, Germund
• Numerical methods that work / Forman S. Acton. - Acton, Forman S.
• Numerical methods that work. - Acton, Forman S.