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The Product Form for the Inverse in the Simplex Method

1954
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Mathematical Tables and Other Aids to Computation
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When a matrix la represented as a product of "elementary" matrices, the matrix, its transpose, Its Inverse and inverse transpose are readily available for vector multiplication. 3y an "elementary matrix" Is meant one formed from the identity matrix by replacing one column; thus an elementary matrix can be compactly recorded by the subscript of the altered column and the values of the elements in it. In the revised simplex method {tjv both the inverse and inverse transpose of a "basic" matrix

doi:10.2307/2001993
fatcat:kr63ownaavcmzoopc6ieg34wsm