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- | . | + | ====== IAM 961: Numerical Linear Algebra ====== |
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+ | Instructor: John Gibson, Kingsbury N309E, john.gibson@unh.edu | ||
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+ | Numerical linear algebra is the science of solving systems of linear equations $Ax=b$ and the eigenvalue problem | ||
+ | $A v = \lambda v$ on a digital computer --problems are at the root of the vast bulk of scientific computation. | ||
+ | Compared to classical linear algebra, the finite precision and speed of numerical mathematics brings in a number | ||
+ | of important new concepts, including conditioning, stability, and accuracy, and efficiency. We will develop these | ||
+ | ideas and learn the most important numerical linear algebra algorithms: QR, LU, SVD decompositions, Gramm-Schmidt orthogonalization, the QR eigenvalue algorithm, and Krylov subspace methods. Time permitting, we will also study | ||
+ | key algorithms for function optimization and the solution of systems of nonlinear equations. | ||
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+ | ^ HWs ^ due date ^ comments ^ | ||
+ | | {{:gibson:teaching:fall-2012:iam961:hw1.pdf|HW1}} | 9/17 | | | ||
+ | | {{:gibson:teaching:fall-2012:iam961:hw2.pdf|HW2}} | 10/17 | | | ||
+ | | [[:gibson:teaching:fall-2012:iam961:hw3|HW3]] | 10/31| | | ||
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+ | ^ lecture stuff ^ comments ^ | ||
+ | | [[:gibson:teaching:fall-2012:iam961:svddemo.m]] | | |