www.matlab.link
Matlab : Numerical Solution of Ordinary Differential Equations
Matlab has facilities for the numerical solution of ordinary differential equations 1
(ODEs) of any order. In this document we first consider the solution of a first
order ODE.
www.matlab.link
Matlab/Freemat/Octave/Scilab: Arithmetic Operators
The mathematical symbols that can be used in Matlab/FreeMat/Octave/Scilab and the
corresponding mathematical symbol is given in the following table.
operation
addition
subtraction
multipli
ALGORITHM
On
NUMRICAL METHODS
By
T K RAJAN
SELN GRADE LECTURER IN MATHEMATICS
GOVT VICTORIA COLLEGE PALAKKAD
ASCENDING ORDER OF A SET OF NUMBERS
Arrange the following set of numbers in ascending order
385, 994, -234, -56, 0.
ALGORITHM
Step 1: Read the num
Khaled A. Al-Utaibi
[email protected]
Definition of Divide & Conquer Technique
Examples:
Binary Search
Merge Sort
Quick Sort
The main idea of the divide & conquer
technique is to take a problem of large input
size, then divide it into many sub-problems
Khaled A. Al-Utaibi
[email protected]
Algorithm Design Techniques
Definition of Brute Force Method
Examples:
Linear Search
Selection Sort
Merging Problem
Brute force
Greedy
Divide-and-conquer
Decrease-and-conquer
Transform-and-conquer
Dynamic programmin
Outline
Complexity
Basic tools
Big-Oh
Big Omega
Big Theta
Examples
Lecture 3: Analysing Complexity of Algorithms
Big Oh, Big Omega, and Big Theta Notation
Georgy Gimelfarb
COMPSCI 220 Algorithms and Data Structures
1 / 15
Outline
Complexity
1
Complexity
2
Khaled A. Al-Utaibi
[email protected]
Running Time
Order of Growth
Asymptotic Notations:
The O-Notation
The -Notation
The -Notation
Estimating the Running Time
Time is a critical resource to be investigated in the
analysis of algorithms.
The running tim
CS2210
Data Structures and Algorithms
Lecture 2:
Analysis of Algorithms
Asymptotic notation
Instructor: Olga Veksler
2004 Goodrich, Tamassia
Outline
Comparing algorithms
Pseudocode
Theoretical Analysis of Running time
Primitive Operations
Counting primit
Exact Analysis is Hard!
We have agreed that the best, worst, and average case
complexity of an algorithm is a numerical function of
the size of the instances.
1
2
3
4
.
However, it is dicult to work with exactly because it
is typically very complicated!
T