Matrix Continued Fractions
Matrix Continued Fractions
复制标题
矩阵连分数
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
J. V. Iseghem
中科院分区：
文献类型：
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作者：
V. N. Sorokin;J. V. Iseghem
矩阵连分数被定义并用于近似函数 F（称为 1/z 中的幂级数），其矩阵系数为 sp×q，或者等效地通过无穷远全纯函数矩阵。它是 P 分数的推广，收敛序列收敛于给定函数。这些收敛具有一个矩阵作为分母，该矩阵的列与与 F 相关的线性矩阵函数正交。算法中断的情况用 F 来表征。
A matrix continued fraction is defined and used for the approximation of a function F known as a power series in 1/zwith matrix coefficientsp×q, or equivalently by a matrix of functions holomorphic at infinity. It is a generalization of P-fractions, and the sequence of convergents converges to the given function. These convergents have as denominators a matrix, the columns of which are orthogonal with respect to the linear matrix functional associated to F. The case where the algorithm breaks off is characterized in terms of F.