submatrix

find largest submatrix algorithm

I have an N*N matrix (N=2 to 10000) of numbers that may range from 0 to 1000. How can I find the largest (rectangular) submatrix that consists of the same number? Examples: or 10 9 9 9 80 5 9 9 9 10 85 86 54 45 45 15 21 5 1 0 5 6 88 11 10 The output should be the area of the submatrix, followed by 1-based coordinates ...

Getting the submatrix with maximum sum?

With the help of the Algorithmist and Larry and a modification of Kadane's Algorithm, here is my solution: int dim = matrix.length; //computing the vertical prefix sum for columns int[][] ps = new int[dim][dim]; for (int i = 0; i < dim; i++) { for (int j = 0; j < dim; j++) { if (j == 0) { ...

Octave: Multiple submatrices from a matrix

I have a large matrix from which I would like to gather a collection of submatrices. If my matrix is NxN and the submatrix size is MxM, I want to collect I=(N - M + 1)^2 submatrices. In other words I want one MxM submatrix for each element in the original matrix that can be in the top-left corner of such a matrix. Here's the code I have...

How to extract a 2x2 submatrix from a bigger matrix

Hello, I am a very basic user and do not know much about commands used in C, so please bear with me...I cant use very complicated codes. I have some knowledge in the stdio.h and ctype.h library, but thats about it. I have a matrix in a txt file and I want to load the matrix based on my input of number of rows and columns For example, I...

Finding a submatrix with the maximum possible sum in O(n^2)

Hi, I'm trying to write a program in Java that when given an MxN matrix it will find the (contiguous) submatrix with the biggest sum of numbers. The program then needs to return the top left corner coordinates of the submatrix and the bottom right corner coordinates. The matrix can include negative numbers and both the matrix and submat...