Lawson and Hanson (1995) proved that the problem (11) is equivalent to the least-squares problem
If the primal problem (19) has an unbounded optimal solution, then the least-squares problem (23) has for every [z.
If the LP problem is degenerate, ill-conditioned or we have any initial basis, then it is expedient to start the solution process with the least-squares problem (23).
The user has the option of solving systems of nonlinear equations or nonlinear least-squares problems.
First, we tested the software package on the set of nonlinear equations and nonlinear least-squares problems of More et al.
The dimensions of the least-squares problems are m = n = 65536 and the constraints are l = [(0, .
2] as bound-constrained linear least-squares problems by ADM.
Following , we now describe a method for computing a solution to the least-squares problem (2.
We now have a true least-squares problem, which again can be solved with the SVD.
Also, rank revealing factorization can be used to solve least-squares problems
using the method proposed by Bjorck [1, 2].
1) This is a formal derivation and it is worth noting that one should not form generalized inverses as a method for computing solutions to linear least-squares problems
The efficient algorithms developed in this work were used to solve large-scale least-squares problems
involving millions of observations from the National Geodetic Survey.