Least square method for matrices dependent on parameters

The algorithms of construction of pseudoinverse matrices and the solution of systems with rectangular matrices the entries of whose polynomially and rationally depend on the parameters are suggested. The cases of one- and two-parameter matrices are considered. The construction of pseudoinverse matrices are realized on the basis of rank factorization algorithms. In the case of polynomial occurrence of the parameters the $\Delta W$-$1$ and $\Delta W$-$2$ algorithms, respectively [1, 2], are such algorithms. In the case of rational occurrence of the parameters such algorithms are irreducible factorization algorithms [4]. The paper extends the results of the author [11] to the case of two-parameter polynomial and rational matrices. Bibliography: 12 titles.