基于广义逆的矩阵Padé逼近的De Montessus-De Ballore型收敛性定理

De Montessus-De Ballore Convergence Theorem for Generalized Inverse Matrix Valued Pade Approximants

中文关键词:  广义逆  矩阵Padé逼近  收敛定理

英文关键词:generalized inverse  matrix Padé approximations  convergence theorem

中文摘要:

      基于广义逆的矩阵Padé 逼近^[4,5]的一个行收敛性定理,即著名的De Montessus-De Ballore回收敛定理在本文首次得以建立,根据这一结果,唯一性定理被简洁地证明,并获得一个实用的存在性定理,

英文摘要:

      A row convergence theorem for generalized inversed matrix valued Padé approximantians is at first established, The theorem is an extension of the theorem of De Montes-sus-De Ballore for a row sequence of(scalar) Padé approximants, Based on the result, uniqueness theorem is simperly proved once more, A practical existence theorem for above mentioned approximants is obtained,