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DHIRAJ LOTLIKAR
Information Technology
11 Feb 2019

How to find Saddle point of a matrix in java?

Saddle point of a matrix is an element in the matrix which is smallest in its row and largest in its column. A matrix can have many or no saddle points. For example,

6    3     1
9    7     8
2    4    5

In this matrix, 7 is the saddle point. Because it is the smallest in its row (2nd row) and largest in its column (2nd column).

Algorithm To Find Saddle Point Of A Matrix In Java

Step 1 : For each row of the matrix, find the smallest element in a row and store it in rowMin and also store its column index in colIndex.

for (int i = 0; i < matrix.length; i++)
{
int rowMin = matrix[i][0];
int colIndex = 0;

for (int j = 1; j < matrix[i].length; j++)
{
if(matrix[i][j] < rowMin)
{
rowMin = matrix[i][j];
colIndex = j;
}
}
}

Step 2 : Check whether rowMin is also the largest element in its column i.e colIndex.

for (int j = 0; j < matrix.length; j++)
{
if(matrix[j][colIndex] > rowMin)
{