Just call perm_mat_to_make_block_diag(A). The code below can be used to make the matrix P described above from an input matrix A. In the example above they would be the two following ones So I'm trying to eventually decompose the matrix into several if they exist. If nobody in a group of player has played against anybody in the other group of players, then I cannot rank one group against the other group, because I do not know their relative strength. Each row is a player, and each column is a player. Imagine the matrix is the score of a player against another player. I need to determine the relative strength of players by comparing their scores. My problem is about representing points scored by players against each other in. Is there an algorithm to find out if it is possible and do it, or to determine the permutation matrix? Reshape function is used to give a new shape to the array with a specified number of rows and columns.Is there a way to determine if by permutation of rows and columns a matrix can be transformed into a block-diagonal matrix (EDIT: with more than one block)? For example the following matrixĮDIT: set to 0 element in 2nd row that was =2.īy permuting first row with last row and first column with last column can be transformed into the following block-diagonal matrix. The reshaped array should be compatible with the original array. It is used in both Python and Matlab to execute various operations in the array. After reshaping the array, it adjusts the memory allocation accordingly. Sorting the data in an array is also a valuable tool, and MATLAB offers a number of approaches. For example, the sort function sorts the elements of each row or column of a matrix separately in ascending or descending order. Create a matrix A and sort each column of A in ascending order. When you use to automatically calculate a dimension size, the dimensions that you do explicitly specify must divide evenly into the number of elements in the input matrix, numel(A). Beyond the second dimension, the output, B, does not reflect trailing dimensions with a size of 1. For example, reshape(A,3,2,1,1) produces a 3-by-2 matrix. matlab permuteī = permute(A,dimorder) rearranges the dimensions of an array in the order specified by the vector dimorder. For example, permute(A,) switches the row and column dimensions of a matrix A. P = perms(v) returns a matrix containing all permutations of the elements of vector v in reverse lexicographic order. Each row of P contains a different permutation of the n elements in v. Matrix P has the same data type as v, and it has n! rows and n columns. Newarray = permute(sysarray,order) rearranges the array dimensions of a model array so that the dimensions are in the specified order. The input and output dimensions of the model array are not counted as array dimensions for this operation. Rearrange the dimensions of a multidimensional array. B = permute(A,order) rearranges the dimensions of A so that they are in the order specified by the vector order. B has the same values of A but the order of the subscripts needed to access any particular element is rearranged as specified by order. MATLAB includes a function called permute(), which is a generalization of the transpose function but for ND arrays. Permute() takes in an ND-array and the desired array order and then returns the rearranged data. The syntax looks this: newArray = permute( oldArray, ). Permute does a permutation of the dimensions of an array, not of its elements, as one may expect from its name. Thus, permute(A,) flips dimension 2 (the columns) of array A with dimension 1 (the rows) of array A, which is equivalent to a transpose (A'). This MATLAB function returns a row vector containing a random permutation of the integers from 1 to n without repeating elements. Mat = vec2mat (vec,matcol) converts the vector vec into a matrix with matcol columns, creating one row at a time. If the length of vec is not a multiple of matcol, then extra zeros are placed in the last row of mat. The matrix mat has ceil (length (vec)/matcol) rows.
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