Band matrix, Advanced Statistics

Band matrix: A matrix which has its non zero elements arranged uniformly near to the diagonal, so that aij = 0 if (i - j)> ml or (j - i)> mu where aij are the elements of matrix and ml and mu are the upper and lower band widths respectively and ml+mu+1 is the whole band width. The example of such a matrix is the below draw square matrix, A, with n number of rows, columns and band widths ml=q-1 and mu=p-1.

776_band matrix.png 

 These types of matrices often arise in numerical analysis. Diagonal, upper and lower triangular matrices are the special cases of the band matrices.  

Posted Date: 7/26/2012 5:06:28 AM | Location : United States

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