Triangular factor

Triangular factors are Triangular Matrices the results of LU decomposition or QR decomposition.

In the QR decomposition, the resulting R matrix is Triangular factor. In the LU decomposition, the resulting L and U matrices are Triangular factors.

"" There are many cases when it is important to have information on the extremal singular values of a square matrix A. Sometimes, it is too expensive to calculate the singular values exactly and an approximation of these quantities suffices. "" They can be calculated from the Triangular Factor.

• from http://www-sccm.stanford.edu/seminar-w2003/Slot02.htm that mentions the usage of Triangular Factors

See Also : R. H. Bartels and G. H. Golub, The simplex method of linear programming using the LU decomposition, Communications of the ACM, 12 (1969)