The objective function, parameter estimates, and Hessian matrix are the same as those in the first example in this section using the LSQ statement. However, the Jacobian matrix is different, each row ...

In this note, we discuss the reconstruction of periodic Jacobi matrices from spectral data. The method combines ideas and techniques from the algorithms given by Boley and Golub [1], [2], and Ferguson ...

The idea of these methods is to avoid finding a new approximation to the Jacobian matrix of the system at each step, and thus increase the efficiency. Local convergence theorems are proved, and the ...