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Optimization (3.1)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses Newton's methods for 1) a single equation, 2) a system of equations, and 3) minimizing a function of 1 variable.
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Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Dense Linear Algebra (2.5)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen provides a demonstration of Chebfun.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Dense Linear Algebra (2.4)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses matrix factorizations and SVD.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Dense Linear Algebra (2.3)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses floating point arithmetic and backward error analysis.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Dense Linear Algebra (2.2)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses QR factorization, the computation of the QR factorization, and linear least-squares.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

Subscribe

Download

Dense Linear Algebra (2.1)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses matrices, vectors and expansions, including orthogonal vectors and matrices.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Sparse Matrices and Iterative Methods (1.4)

Series
Scientific Computing for DPhil Students
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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.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Sparse Matrices and Iterative Methods (1.3)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses preconditioned CG and also provides examples of preconditioners
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration: 00:54:39

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Sparse Matrices and Iterative Methods (1.2)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses the topic of conjugate gradients and the convergence of CG.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

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Download

Sparse Matrices and Iterative Methods (1.1)

Series
Scientific Computing for DPhil Students
Embed
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
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
Department: Mathematical Institute
Date Added: 03/10/2016
Duration:

Subscribe

Download

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