Numerical Linear Algebra (MAE685): Διαφορά μεταξύ των αναθεωρήσεων
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! Course Website (URL) | ! Course Website (URL) | ||
| | | See [https://ecourse.uoi.gr/ eCourse], the Learning Management System maintained by the University of Ioannina. | ||
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=== Learning Outcomes === | === Learning Outcomes === | ||
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Αναθεώρηση της 12:35, 13 Αυγούστου 2022
Undergraduate Courses Outlines - Department of Mathematics
General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
ΜΑΕ545 |
Semester |
5 |
Course Title |
Numerical Linear Algebra |
Independent Teaching Activities |
Lectures (Weekly Teaching Hours: 3, Credits: 6) |
Course Type |
Special Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek |
Is the Course Offered to Erasmus Students |
Yes (in English) |
Course Website (URL) | See eCourse, the Learning Management System maintained by the University of Ioannina. |
Learning Outcomes
Learning outcomes |
After successful end of this course, students will be able to:
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General Competences |
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Syllabus
Introduction to Matrix theory. Conditioning of Linear Systems, Stability of the methods. Direct methods: Gauss Elimination Method, LU Factorization, Cholesky Factorization. Iterative methods: Jacobi, Gauss-Seidel, Extrapolation technique, SOR method. Minimization methods for solving linear systems: steepest descent method, Conjugate Gradient method. The linear least squares problem: System of Canonical Equations, QR method. Computation of eigenvalues and eigenvectors: Power Method, Inverse Power Method.
Teaching and Learning Methods - Evaluation
Delivery |
In the class | ||||||||||
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Use of Information and Communications Technology | - | ||||||||||
Teaching Methods |
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Student Performance Evaluation |
Written examination |
Attached Bibliography
See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Additionally:
- “Numerical Linear Algebra”. Dougalis V., Noutsos D., Hadjidimos A., University of Ioannina.