CSE/Math 451 Class Notes and Demos

Class Demo Programs

• Quadratic Equation Program using Standard Formula
• Quadratic Equation Program using ``Improved'' Formula
• Three ways of computing tan x - sin x near zero
• Hilbert Matrix test to demostrate condition numbers
• Bisection routine , function cos x -x for demo and its derivative
• Newton's method
• The secant method
• Newton interpolation polynomial Evaluate with Newton evaluation routine
• Script for inverse interpolation demo
• Foct12.m and Joct12.m for demo program.
• Romberg Integration routine and Necessary Update Routine
• Simpson's Rule with Trapezoid Update Rule and Simple Trapezoid Rule You will need all three for Simpson's Rule to Work.
• Seven Point Gaussian Integration Routine
• Richardson Extrapolation Routine for Calculating Pi
• Gaussian elimination without pivoting
• Gaussian elimination with partial pivoting
• Wilkinson's example for Gaussian elimination

Notes

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• lecture 6--the MATLAB demo lecture
• Lecture 7
• Lecture 8
• Lecture 9
• Lecture 10
• Lecture 11
• Lecture 12
• Lecture 13
• Lecture 14
• Lecture 15
• Lecture 16
• Lecture 17
• Lecture 18
• Lecture 19
• Lecture 20
• Lecture 21
• Lecture 22--Interpolation
• Lecture 23
• Lecture 24
• Lecture 25
• Lecture 26
• Lecture 27
• Lecture 28
• Lecture 29
• Lecture 30
• Lecture 31
• Lecture 32
• Lecture 33
• Lecture 34
• Lecture 35
• Lecture 36
• Lecture 37 --Method of Lines Lecture
• Lecture 38-- FFT Lecture
• Norms and Inner Products Notes
• Rough Lecture Notes on Hager-Higham Estimator This has many misprints, but has the essentials of the algorithm
• My notes on Hager-Higham estimator (not in the context of LU decomposition Estimates norm(C,1) where we can do operations C*x and C'*x. time for
• Three lectures on splines in postscript. Lecture #1, Lecture #2 and Lecture #3
• In postscript One lecture on FFTs

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