Sorting, MATLAB in Mathematics

Sorting

The Sorting is a process of putting a list in order; either in descending (maximum to minimum), or ascending (minimum to maximum) order. For illustration, here is a list of n integers, imagine as a column vector.

1834_sorting.png

We want to sort it in ascending order in place, in another word, rearranging this vector, not creating the other. The one basic algorithm would be as shown below:

¦ Look throughout the vector to find the minimum number, and then place it in the first element in the vector. How? By replacing it with the number presently in the first element.

¦ Then, scan the rest of the vector (from the second element down) looking for the next minimum (or, the lowest in the rest of the vector). Whenever found, put it in the first element of the rest of the vector.

¦ Continue doing this for the rest of the vector. The next-to-last number has been once placed in the correct place in the vector, also by default the last number.

The table below shows the progression. The left-hand column represents the original vector. The second column (from left) represents that the minimum number, that is 70, is now in the first element in the vector. It was place there by replacing with what had been in the first element, 85. This carries on element-by-element, till the vector has been sorted.

1603_sorting1.png

This is known as the selection sort; it is merely one of several different sorting algorithms.

Posted Date: 10/22/2012 7:21:35 AM | Location : United States







Related Discussions:- Sorting, Assignment Help, Ask Question on Sorting, Get Answer, Expert's Help, Sorting Discussions

Write discussion on Sorting
Your posts are moderated
Related Questions
Illustration of logical built-in functions: The function find returns the indices of a vector which meet certain criteria. For illustration, to find all the elements in a vect

Plot types: Besides plot and bar, there are another plot types like stem plots, histograms, stem plots, area plots and pie charts, and also other functions which customize the

Three-dimensional pie and bar: For the bar3 function, x & y vectors are passed and the function displays three-dimensional bars as shown in figure: Figure: Three-dimen

Function fopen - file function: The permission string in the call to the fopen function identifies that the file is opened for writing to it. Just as when reading from a file,

Illustration of Writing variables to a file: For illustration, in the below session in the Command Window, 3 variables are generated; these are then exhibited using who. Then,

Strings as matrix: The matrix can be generated, that consists of strings in each row. Therefore, essentially it is created as a column vector of strings, but the final result

Structure Consisting of the Fields A MATLAB can also solve the sets of equations. In this illustration, the solutions for x, y, & z are returned as a structure consisting of th

Logical Vectors: The relational operators can also be used with the vectors and matrices. For illustration, let's say that there is a vector, and we want to compare each eleme

Illustration of Advanced file input and output: For illustration, to refer to the third number in the first element of the cell array: >> subjdata{1}(3) ans =

strvcat function - concatenation: The function strvcat will concatenate it vertically, that means that it will generate a column vector of the strings.   >> strvcat(fir