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scientific computing

Scientific Computing for DPhil Students
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Sparse Matrices and Iterative Methods (1.4)

In this lecture, Professor Trefethon provides a definition of numerical analysis and provides an overview of matrix iterations, including a discussion on the Lanczos iteration. He also reviews various numerical software tools and information sources.
Scientific Computing for DPhil Students
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Sparse Matrices and Iterative Methods (1.3)

In this lecture, Professor Trefethen discusses preconditioned CG and also provides examples of preconditioners
Scientific Computing for DPhil Students
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Sparse Matrices and Iterative Methods (1.2)

In this lecture, Professor Trefethen discusses the topic of conjugate gradients and the convergence of CG.
Scientific Computing for DPhil Students
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Sparse Matrices and Iterative Methods (1.1)

In this lecture, Professor Trefethen first provides an overview of the field of linear algebra and optimization. Secondly, he discusses the question of how fast we can solve Ax=3Db? Thirdly, he discusses sparse matrices

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