1
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Handout 7, 27 March 2012
Some useful relationships about vector and matrix norms.
The fundamental principle: A vector or matrix nor
1
Numerical Computing
New York University, Spring 2012
Margaret Wright
Handout 3, 31 January 2012
Using the secant method to nd a zero of f (x) = 1.2 0.9x4 with
x0 = 0.4 and x1 = 1.2.
2
1.5
1
0.5
x1
0
NUMERICAL COMPUTING
V22.0421-001
New York University
Spring Semester 2012
Instructor: Margaret H. Wright
January 26, 2012
Handout 1Class meeting 2
1.
Order notation
The following notation is ubiquitou
1
Numerical Computing
New York University, Spring 2012
Handout 5, 20 March 2012
Untidy calculations in the linear least-squares problem.
Let A be an m n matrix, m n, whose columns are linearly indepen
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 8
Assigned April 12, 2012; due April 19, 2012
Exercise 7.1. Assume that we wish to
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 7
Assigned April 3, 2012; due April 10, 2012
Exercise 7.1. Dene A and b as
6
3
A =
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 6
Assigned March 22, 2012; due March 29, 2012
Exercise 6.1. This problem involves
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 5
Assigned March 1, 2012; due March 8, 2012
Exercise 5.1. Let b denote a given n-v
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 4
Assigned February 21, 2012; due March 1, 2012
In all problems involving vector o
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 3
Assigned February 14, 2012; due February 21, 2012
Exercise 3.1.
Given a real non
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 2
Assigned February 7, 2012; due February 14, 2012
Exercise 2.1. (Special conditio
CSCI-UA.0421: Numerical Computing
New York University, Spring 2012
Instructor: Margaret H. Wright
Homework Assignment 1
Assigned January 31, 2012; due February 7, 2012
Exercise 1.1. (Sequences and rat
1
Numerical Computing
New York University, Spring 2012
Margaret Wright
Handout 4, 9 February 2012
Hexadecimal digits
decimal
8
9
10
11
12
13
14
15
symbol
8
9
a
b
c
d
e
f
bit pattern
1000
1001
1010
101
1
Numerical Computing
New York University, Spring 2012
Margaret Wright
Handout 2, 26 January 2012
Using bisection to nd a zero of f (x) = x2 9, with initial interval
[0, 10], so that f (a) = 9 and f (