LU | LU Decomposition. Factors a square matrix into three |
| matrices: |
| {[[lowertriangular]],[[uppertriangular]],[[permutation]]} |
| The uppertriangular has ones on its diagonal. |
| LU(matrix) |
MAKEMAT | Make Matrix. Creates a matrix of dimension rows × |
| columns, using expression to calculate each element. If |
| expression contains the variables I and J, then the |
| calculation for each element substitutes the current row |
| number for I and the current column number for J. |
| MAKEMAT(expression, rows, columns) |
| Example |
| MAKEMAT(0,3,3) returns a 3×3 zero matrix, |
| [[0,0,0],[0,0,0],[0,0,0]]. |
QR | QR Factorization. Factors an m×n matrix into three |
| matrices: {[[m×m orthogonal]],[[m×n |
| uppertrapezoidal]],[[n×n permutation]]}. |
| QR(matrix) |
RANK | Rank of a rectangular matrix. |
| RANK(matrix) |
ROWNORM | Row Norm. Finds the maximum value (over all rows) for |
| the sums of the absolute values of all elements in a row. |
| ROWNORM(matrix) |
RREF | |
| matrix to its reduced |
| RREF(matrix) |
SCHUR | Schur Decomposition. Factors a square matrix into two |
| matrices. If matrix is real, then the result is |
| |
| If matrix is complex, then the result is |
| |
| SCHUR(matrix) |
SIZE | Dimensions of matrix. Returned as a list: {rows,columns}. |
| SIZE(matrix) |
Matrices |