Course Information

Course Name	Turkish	Hesaplamalı Lineer Cebir
	English	Computational Linear Algebra
Course Code	MAT 263E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	3	-	3	-	-
Course Language		English
Course Coordinator		Ahmet Kırış
Course Objectives		1. To learn numerical solutions of linear systems, 2. To solve numerically eigenvalue-eigenvector problems, 3. To analyze convergence of iterative methods, 4. To solve linear algebra problems with popular programming languages,
Course Description		The concepts of vector and matrix norms, positive definite matrix, linear independence, dimensions and bases. Solution of linear systems: Direct methods (Gauss-Elimination, Gauss-Jordan, pivoting, Cramer methods, LU, Cholesky and QR decompositions), Iterative methods (Jacobi and Gauss-Seidel methods, Successive over relaxation method) and convergence analysis, Solutions of linear systems with popular programming languages. Eigenvalue and eigenvector problems: Gerschgorin disks, Rayleigh quotient, Trace method, Power and inverse power methods and power method with shifting. Solutions of eigenvalue-eigenvector problems with popular programming languages. Singular value decomposition.
Course Outcomes		Students completing successfully this course earns qualifications on the following subjects: I. Solutions of linear systems, II. Solutions of eigenvalue-eigenvector problems, III. Solutions of linear algebra problems with popular programming languages.
Pre-requisite(s)		MAT143E MIN DD
Required Facilities
Other
Textbook		Burden R. L., Faires J. D., Numerical Analysis, 10th Edition, Cengage Learning, 2015.
Other References		Sewell G., Computational Methods of Linear Algebra, 3E, World Scientific, 2014. Strang G., Introduction to Linear Algebra, Wellesley-Cambridge Press, 2016. Nassif N., Erhel J., Philippe B., Introduction to Computational Linear Algebra, CRC Press, 2016. Trefethen L. N., Bau D., III, Numerical Linear Algebra, SIAM, 1997. Lyche T., Numerical Linear Algebra and Matrix Factorizations, Springer, 2020. Demmel J. W., Applied Numerical Linear Algebra, SIAM, 1997.

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