Schema della sezione

  • Introduzione

    Minimizza tutto Espandi tutto

    Lecture time

    • Tuesday 9-11
    • Thursday 16-18

    The first lecture is on Thursday, February 25.

    Remote lecturing

    This course will be held remotely, due to the emergency measures for the Covid-19 pandemic. As a streaming platform, we plan to use (experimentally) the BBB server of the Department of Mathematics. The live-stream for the lectures is accessible directly from this page (see the section Lecture Videos). Barring technical problems, the lectures will be available for download after they end.

    Students are strongly invited to sign up for this course on Moodle, so that they can get updates and messages on the 'annunci' forum mailed to them automatically.

    We will keep the Microsoft Teams group as back-up in case of technical problems to the streaming platform.

    Useful material

    General program

    • Matrix functions: definition, properties, and numerical methods.
    • Computational methods for linear control theory, including algebraic Riccati equations.

    See the course presentation below for more details.

    Recommended books

    • N. Higham, "Functions of Matrices: Theory and Computation", SIAM, 2008. This book is available for download for free (one PDF file per chapter) from inside the Unipi network (or via VPN).
    • B. Datta, "Numerical Methods for Linear Control Systems", Elsevier, 2004.

  • Lecture videos

    (The BBB room is here, but it is visible only to logged-in users)

  • Slides

    • 1-Sylvester File PDF
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    • 2-functions File PDF
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    • 3-general-methods File PDF
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    • 4-autodiff File PDF
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    • 5-expm File PDF
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    • 6-expm-numerical File PDF
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    • 7-frechet File PDF
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    • 8-sign File PDF
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    • 9-sqrt File PDF
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    • 10-largefun File PDF
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    • 11-lyap File PDF
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    • 12-control File PDF
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    • 13-optimal control File PDF
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    • 14-CARE-Newton File PDF
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    • 15-CARE-subspace File PDF
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    • 16-CARE-sign File PDF
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    • 17-CARE-largescale File PDF
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  • Tablet notes

    • 2021-02-26 File PDF
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    • 2021-03-02 File PDF
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    • 2021-03-04 File PDF
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    • 2021-03-09 File PDF
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    • 2021-03-11 File PDF
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    • 2021-03-16 File PDF
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    • 2021-03-18 File PDF
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    • 2021-03-23 File PDF
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    • 2021-03-25 File PDF
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    • 2021-03-30 File PDF
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    • 2021-04-01 File PDF
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    • 2021-04-13 File PDF
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    • 2021-04-15 File PDF
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    • 2021-04-19 File PDF
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    • 2021-04-22 File PDF
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    • 2021-05-04 File PDF
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    • 2021-05-06 File PDF
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    • 2021-05-11 File PDF
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    • 2021-05-13 File PDF
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  • Final seminar

    The final exam is via a presentation on a research paper on the topics of the course.

    You can find below a list of possible suggestions for the papers. If you enjoyed a particular topic, or have spotted a connection to something else in your research interests, feel free to ask for further papers or suggest some.

    You are expected to read the chosen paper carefully, understand it, and in most cases test the suggested algorithms and assess their performances in numerical experiments as well. (If you are unsure what this entails for your paper, ask.) You will need to prepare a 30 \pm 10 minutes presentation on the chosen paper, describing theory and experiments in detail.

    You can contact the instructor and agree a date for your exam at any point during the academic year ("su appuntamento").

    • Possible papers File TXT
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