Abstract: To obtain better results of matrix Padétype approximation, an improved algorithm is given for the matrix Padétype approximation, which is called an orthogonal polynomial algorithm of matrix Padétype approximation based on the matrix 〖WTHX〗E〖WTBX〗uv〖WTBZ〗 in the inner space. Matrix Padétype approximation can be quite sensitive to perturbation to the coefficients of the power series. In order to fill this gap, a leastsquares algorithm of matrix Padétype approximation is constructed. The numerator and denominator of the two algorithms determinant expressions are given.

Key words: least square, linear function, matrix-value, Padé-type approximation