The Samelson inverse mains Pade approximation (SMPA) is introduced in [3]. Bymeans of Samelson invrese for matrices, s-algorithm and n-algorithm, which are used asthe computation for SMPA, are established. The well-kn...The Samelson inverse mains Pade approximation (SMPA) is introduced in [3]. Bymeans of Samelson invrese for matrices, s-algorithm and n-algorithm, which are used asthe computation for SMPA, are established. The well-known Wynn identity for SMPAis given on the basis of ε-algorithm. As a important application, matrix ε-algorithm formains exponeatial functions is established. Stability analysis for three approximatingformulas, which is often used, point out that matrix ε-new algorithm is stable, on thecondition of characteristic value of the matrix discussed is less than or equal to zero.展开更多
文摘The Samelson inverse mains Pade approximation (SMPA) is introduced in [3]. Bymeans of Samelson invrese for matrices, s-algorithm and n-algorithm, which are used asthe computation for SMPA, are established. The well-known Wynn identity for SMPAis given on the basis of ε-algorithm. As a important application, matrix ε-algorithm formains exponeatial functions is established. Stability analysis for three approximatingformulas, which is often used, point out that matrix ε-new algorithm is stable, on thecondition of characteristic value of the matrix discussed is less than or equal to zero.
