内积空间上的矩阵型pade逼近的代数性质

Algebraic Properties of Matrix-Type Pade Approximant in the Inner Product Space

通过构造一个内积空间的线性泛函,定义了一个新的矩阵型pade逼近(MTPA).MTPA克服了pade逼近中分母必须为偶数的约束,其分母也可以是奇数.在此基础上,讨论和证明了MTPA的一些相应的代数性质,并列举相关的实例来验证,最后证明了其误差公式.

A new Matrix Pade-type approximant（MPTA） is defined in the paper by introducing a generalized linear function in the inner product space.In MPTA the denominator can be an even and an odd,which gets free from the restriction in Pade approximation that the denominator must be an even.Some algebraic properties of MPTA are discussed and proved and examples are tested.Besides,the error formula of MPTA is proved.