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Matlab 2019a print changes how to#
The scaling produced by equilibrate is known as Hungarian scaling, and its computation involves solving a linear assignment problem.6 MATLAB Help (cont.) Any command description can be found by typing the command in the search field As shown above, the command to take square root (sqrt) is searched We can also utilize MATLAB Help from the command window as shown Computer Vision Lecture Notes 03 6Ĩ More about the Workspace who, whos current variables in the workspace save save workspace variables to *.mat file load load variables from *.mat file clear clear workspace variables Computer Vision Lecture Notes 03 8ĩ Matrices in MATLAB Matrix is the main MATLAB data type How to build a matrix? A= Creates matrix A of size 3 x 3 Special matrices: zeros(n,m), ones(n,m), eye(n,m), rand(), randn() Computer Vision Lecture Notes 03 9ġ0 Basic Operations on Matrices All operators in MATLAB are defined on matrices: +, -, *, /, ^, sqrt, sin, cos, etc. See, for example, the recent paper Max-Balanced Hungarian Scalings by Hook, Pestana, Tisseur, and Hogg. This matrix equilibration can improve conditioning and can be a useful preprocessing step both in computing incomplete LU preconditioners and in iterative solvers. The equilibrate function take as input a matrix A (dense or sparse) and returns a permutation matrix P and nonsingular diagonal matrices R and C such that R*P*A*C has diagonal entries of magnitude 1 and off-diagonal entries of magnitude at most 1. The problem arises in sparse matrix computations. This problem can also be described as finding a minimum-weight matching in a weighted bipartite graph. The matchpairs function solves the linear assignment problem, which requires each row of a matrix to be assigned to a column in such a way that the total cost of the assignments (given by the “sum of assigned elements” of the matrix) is minimized (or maximized).