DETERMINANT FORM AND A TEST OF CONVERGENCE FOR THE NEWTON-PADE APPROXIMATIONS

作者：Lukashov Alexey^*; Akal Cevdet

来源：Journal of Computational Analysis and Applications, 2013, 15(1): 55-64.

• Newton-Pade approximations
• Newton series
• Test of convergence

One of the main goals of the paper is to give a new extension of Hadamard's formula for numerator and denominator of Newton-Pade approximations in Newton form. As a byproduct, we'll give a test of convergence for the Newton-Pade approximations. The test is an analogue of M.B. Balk's test of convergence of Pade approximations and its proof heavily uses those determinant forms.

• 出版日期2013-1