Wiki Τμήματος Μαθηματικών
Numerical Linear Algebra (MAE685)

Numerical Linear Algebra (MAE685)

Από Wiki Τμήματος Μαθηματικών
Αναθεώρηση ως προς 16:34, 28 Ιουνίου 2022 από τον Mathwikiadmin (συζήτηση | συνεισφορές) (Νέα σελίδα με '=== General === {| class="wikitable" |- ! School | School of Science |- ! 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 C...')
(διαφορά) ← Παλαιότερη αναθεώρηση | Τελευταία αναθεώρηση (διαφορά) | Νεότερη αναθεώρηση → (διαφορά)

General

School

School of Science

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) -

Learning Outcomes

Learning outcomes

After successful end of this course, students will be able to:

  • understand the basic theory of matrices,
  • be aware of the taught methods to solve linear systems,
  • be aware of the taught methods for computing eigenvalues and eigenvectors,
  • choose the appropriate method by taking into account the stability and speed of the algorithm as well as the conditioning of the system.
  • implement the above methods with programs on the computer.
General Competences
  • Search for, analysis and synthesis of data and information, with the use of the necessary technology
  • Adapting to new situations
  • Criticism and self-criticism
  • Production of free, creative and inductive thinking

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

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures 39
Study and analysis of bibliografy 78
Exercises-Homeworks 33
Course total 150
Student Performance Evaluation

Written examination

Attached Bibliography

  • “Numerical Linear Algebra”. Dougalis V., Noutsos D., Hadjidimos A., University of Ioannina.
Ανακτήθηκε από «https://wiki.math.uoi.gr/index.php?title=Numerical_Linear_Algebra_(MAE685)&oldid=90»