CS 450: Homework #7
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on May 2, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.e
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 3
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 10/25/2013
5:00 PM
Submission Notes:
Each problem
CS 450: Homework #6 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on April 18, 2011
A homework submission guideline is available on the course website at
https:/wiki.
CS450: Numerical Analysis
Spring 2015
Homework 6
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: April 22, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (with computer): (
CS 450: Homework #2 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/disp
# -*- coding: utf-8 -*"
Created on Tue Sep 10 13:01:35 2013
@author: Shipeng
"
import numpy as np
import scipy as sp
import matplotlib.pyplot as plt
from copy import copy
import scipy.linalg as la
N =
CS 450: Homework #5 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on April 4, 2011
A homework submission guideline is available on the course website at
https:/wiki.e
CS 450: Homework #3
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on February 29, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illi
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 1
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 09/20/2013
5:00 PM
Submission Notes:
Each problem
C8450, Spring 2011, Midterm
1. Why is it desirable to use a stable algorithm in numerical computation?
It will improve the conditioning of the underlying problem.
(a
(b
)
) It will always produce
CS450: Numerical Analysis
Spring 2015
Homework 5
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: April 8, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1: (15 points)
Given
Name: Mingye Xiong
Netid: mxiong5@illinois.edu
CS450: Numerical Analysis
Solutions to HW 1
Problem 1:
(a)
Using Taylors expansion, we have
h3
h4
h2
f (x0 ) + f (x0 ) + f (),
2
6
24
3
4h
2h4
f2 = f (x0
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 1 Solution
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: September
21, 2013
Problem 1 [6pt] The sin
CS450: Numerical Analysis
Spring 2015
Homework 4
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: March 20, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (By hand): (10 poi
Numerical Analysis
Linear Systems
Andreas Kloeckner andreask@illinois.edu
Base slides c Michael T. Heath
CS 450 January 29, 2014
LA recap Norms Conditioning Special Gauss/LU Precon. Pivot Cost
Goal fo
CS 450 / MATH 450 /
CSE 401 / ECE 491
Fall 2013
Numerical Analysis Homework 2
Instructor: Luke Olson
University of Illinois at Urbana-Champaign
Due: 10/04/2013
5:00 PM
Submission Notes:
Each problem
CS 450: Homework #7 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on May 2, 2011
A homework submission guideline is available on the course website at
https:/wiki.eng
CS450: Numerical Analysis
Spring 2015
Homework 7
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: May 6, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (with computer): (30
CS 450: Homework #1 (Solutions)
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
A homework submission guideline is available on the course website at
https:/wiki.engr.illinois.edu/disp
CS450: Numerical Analysis
Fall 2014
Homework 7
University of Illinois, UrbanaChampaign, Prof. Michael Heath
Due: December 10, 2014, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1: (25 points)
Con
CS 450: Homework #6
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on April 18, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinoi
CS450: Numerical Analysis
Spring 2015
Homework 4
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: March 20, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1 (By hand): (10 poi
CS450: Numerical Analysis
Spring 2015
Homework 3
University of Illinois, UrbanaChampaign, Prof. Paul Fischer
Due: March 4th, 2015, 5.00 pm. Submit PDF + code les on Moodle.
Problem 1: (20 points)
Let
CS 450: Homework #4
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on March 14, 2011
A homework submission guideline is available on the course website at
https:/wiki.engr.illinoi
CS 450: Homework #2
Numerical Analysis Spring 2012
Luke Olson : 9:00am - 9:50am MWF
Due on February 15, 2012
A homework submission guideline is available on the course website at
https:/wiki.engr.illi
# -*- coding: utf-8 -*"
Created on Sat Nov 02 15:48:21 2013
@author: Shipeng
"
import
import
import
import
numpy as np
scipy as sp
matplotlib.pyplot as plt
scipy.interpolate as interp
t = np.array([0.
# -*- coding: utf-8 -*"
Created on Sat Nov 02 15:48:21 2013
@author: Shipeng
"
import numpy as np
import scipy as sp
from scipy import integrate
import matplotlib.pyplot as plt
import math
# define a
# -*- coding: utf-8 -*"
Created on Sat Sep 28 14:51:16 2013
@author: Shipeng
"
import
import
import
import
import
import
numpy as np
scipy as sp
scipy.linalg as la
matplotlib.pyplot as plt
math
matplo
Failure to pivot can result in all subsequent rows
looking like multiples of the kth row:
Consider
Matlab example pivot.m
End of Lecture 3
pivot_gui.m
Failure to Pivot, Noncatastrophic Case
In case
Sherman Morrison Formula
Existence, Uniqueness, and Conditioning
Solving Linear Systems
Special Types of Linear Systems
Software for Linear Systems
Triangular Systems
Gaussian Elimination
Updating So