N. BosuwanMahidol UniversitySouth Carolina Commission on Higher Education2018-12-212019-03-142018-12-212019-03-142017-09-01Computational Methods and Function Theory. Vol.17, No.3 (2017), 525-556161794472-s2.0-85027544621https://repository.li.mahidol.ac.th/handle/20.500.14594/42318© 2017, Springer-Verlag Berlin Heidelberg. In this paper, convergence theorems of row sequences of vector valued Padé-orthogonal approximants (simultaneous Padé-orthogonal approximants) corresponding to a measure supported on a general compact subset of the complex plane are proved. These theorems are natural extensions of Montessus de Ballore’s theorem for row sequences of (scalar) Padé-orthogonal approximants in Bosuwan et al. (Jaen J Approx 5:179–208, 2013).Mahidol UniversityComputer ScienceConvergence of Row Sequences of Simultaneous Padé-orthogonal ApproximantsArticleSCOPUS10.1007/s40315-017-0190-6