Numerical Linear Algebra
MTH 451/551

Analytical and practical properties of these methods will be examined. Students will get computational experience in applying the algorithms studied using the MATLAB problem-solving environment.

Course Learning Outcomes:

A successful student who completes MTH 451 will be able to

• Apply the basic direct and iterative methods for solving linear systems
• Implement and justify convergence of model iterative methods for solving linear systems
• Follow analyses of stability and accuracy of an algorithm, and determine accuracy experimentally
• Propose an appropriate method for a given linear system and a desired decomposition of a given matrix

A successful student who completes MTH 551 will be able to

• Analyze, select and test selected direct and iterative methods for solving linear systems
• Implement and analyze convergence of selected iterative methods for solving linear systems
• Carry out analyses of stability and accuracy of an algorithm, and determine accuracy experimentally
• Propose an appropriate method for solving a linear system or for decomposition of a matrix of particular type.
• Carry out demonstrations of applicability of the selected numerical linear algebra methods.

Resources

Grade Distribution

Grade Scale

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