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## Syllabus for

TMA265 - Numerical linear algebra

Owner: TM
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: C
Department: 11 - MATHEMATICAL SCIENCES

Teaching language: English

 Course module Credit distribution Examination dates Sp1 Sp2 Sp3 Sp4 No Sp 0101 Examination 5,0 c Grading: TH 5,0 c Contact examiner

#### In programs

TTFYA ENGINEERING PHYSICS, Year 4 (elective)
EMMAS MSc PROGR IN ENGINEERING MATHEMATICS, Year 1 (elective)
TITEA SOFTWARE ENGINEERING, Year 4 (elective)
TITEA SOFTWARE ENGINEERING, Year 3 (elective)
TM Teknisk matematik, Year 2 (elective)
TDATA COMPUTER SCIENCE AND ENGINEERING - Algorithms, Year 4 (elective)
TDATA COMPUTER SCIENCE AND ENGINEERING, Year 3 (elective)

#### Examiner:

Docent  Ivar Gustafsson

#### Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

#### Course specific prerequisites

Basic knowledge of numerical analysis, linear algebra.

#### Aim

To give the students knowledge and skill in using algorithms and numerical software for linear algebra problems.

#### Content

Numerical linear algebra problems arise in many different fields of science like solid mechanics, electrical networks, signal analysis and optimisation. In this course we study basic linear algebra concepts like matrix algebra, vector- and matrix norms, error analysis and condition numbers. For solving linear systems of equations we consider Gaussian elimination with different pivoting strategies. For least-squares problems we study QR-factorisation and singular value decomposition. The metods for eigenvalue problems are based on transformation techniques for symmetric and nonsymmetric matrices.
We discuss the numerical algorithms with respect to computing time and memory requirements. By homework assignments and project work the students get experiences in implementation and evaluation of numerical algorithms for linear algebra problems.

#### Organisation

Lectures, supervising of hand-ins and computer exercises

#### Literature

Applied Numerical Linear Algebra, James W. Demmel, SIAM 1997, chapters 1-5

#### Examination

Experimental and homework assignments(hand-ins) and written examination.

Page manager Published: Thu 03 Nov 2022.