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Homework Problems for Course Numerical Methods for CSE

Homework Problems for CourseNumerical Methods for CSER. Hiptmair, G. Alberti, F. LeonardiVersion of July 16, 2016A steady and persistent effort spent on Homework Problems is essential for success inthe should expect to spend 4-6 hours per week on trying to solve the Homework many involve small coding projects, the time it will take an individual student toarrive at a solution is hard to predict. The assignment sheets will be uploaded on the Course webpage on Thursday everyweek. Some or all of the Problems of an assignment sheet will be discussed in the tutorialclasses on Monday 112weeks after the problem sheet has been published. A few Problems on each sheet will be marked ascore Problems . Every participantof the Course is strongly advised to try and solveat leastthe core Problems .

110} 111 std : : cout << std : : endl ; 112 113} Problem 3 Householder reflections This problem is a supplement to [1, Section1.5.1] and related to Gram-Schmidt orthog-onalization, see [1, Code1.5.4]. Before you tackle this problem, please make sure that you remember and understand the notion of a QR-decomposition of a matrix, see [1, Thm.1.5.8].

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