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Which step in the Hungarian Method involves creating a "zero matrix"?

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In the Hungarian Method, the step that involves creating a "zero matrix" is the step of row and column reduction. This occurs early in the process:


1. Row reduction: Subtract the smallest element in each row from every element in that row.


2. Column reduction: After row reduction, subtract the smallest element in each column from every element in that column.


After completing these two reductions, the result is a matrix with some zeros, referred to as the "zero matrix." This matrix is then used to find an optimal assignment by covering all zeros with the minimum number of lines.


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The step in the Hungarian Method that involves creating a "zero matrix" is subtracting the minimum value in each row and then in each column from all elements. This process helps create zeros in the cost matrix, which are essential for identifying the optimal assignments.

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