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Dense Linear Algebra (2.4)

Series
Scientific Computing for DPhil Students
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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
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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
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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:

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Dense Linear Algebra (2.1)

Series
Scientific Computing for DPhil Students
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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
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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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Sparse Matrices and Iterative Methods (1.1)

Series
Scientific Computing for DPhil Students
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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:

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Scientific Computing for DPhil Students

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Scientific Computing for DPhil Students
Nick Trefethen FRS, Professor of Numerical Analysis at Oxford University, teaches a course for DPhil (PhD) students across all the science departments at the university. The course is distinctive for its exceptionally strong conceptual basis, focussing on fundamental ideas of numerical algorithms and the world of science and engineering they sustain. Historical and philosophical notes on many subjects make these lectures unusual, offering deeper understanding and new perspectives for anyone involved with numerical analysis or scientific computing.

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Les Liaisons dangereuses in 5x5 - Border Crossings

Series
Les Liaisons dangereuses in 5x5
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How Laclos’ Les Liaisons dangereuses has been taken up by other cultures.
Catriona Seth, Marshal Foch Professor of French Literature, in conversation with: Ritchie Robertson, Taylor Professor of the German Language and Literature; and Cláudia Pazos-Alonso, Associate Professor in Portuguese and Brazilian Studies; on how Laclos’ Les Liaisons dangereuses has been taken up by other cultures.

Episode Information

Series
Les Liaisons dangereuses in 5x5
People
Catriona Seth
Ritchie Robertson
Cláudia Pazos-Alonso
Keywords
literature
translations
Department: Faculty of Medieval and Modern Languages
Date Added: 29/09/2016
Duration: 00:12:51

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