Thiele型张量连分式插值及其在张量指数计算中的应用

doi:10.12066/j.issn.1007-2861.2182

上海大学学报(自然科学版) ›› 2021, Vol. 27 ›› Issue (4): 650-658.doi: 10.12066/j.issn.1007-2861.2182

Thiele型张量连分式插值及其在张量指数计算中的应用

蒋祥龙(), 顾传青

上海大学理学院, 上海 200444

收稿日期:2019-06-19 出版日期:2021-08-20 发布日期:2021-07-22
通讯作者: 蒋祥龙 E-mail:jiangxl@shmtu.edu.cn
作者简介:蒋祥龙(1989—), 男, 博士, 研究方向为数值代数. E-mail: jiangxl@shmtu.edu.cn
基金资助:
国家自然科学基金资助项目(11371243);上海市重点学科建设资助项目(S30104)

Thiele-type tensor continued fraction interpolation and its application in the computation of the tensor exponential function

JIANG Xianglong(), GU Chuanqing

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2019-06-19 Online:2021-08-20 Published:2021-07-22
Contact: JIANG Xianglong E-mail:jiangxl@shmtu.edu.cn

摘要/Abstract

摘要：

提出了Thiele型广义张量有理逼近的一种连分式插值方法, 并用该方法计算了张量指数函数的值, 由此来说明这种连分式插值方法的有效性.

关键词: 张量指数函数, Thiele型广义张量有理逼近, 连分式插值

Abstract:

A continued fraction interpolation method for Thiele-type generalised tensor rational approximation was proposed. This method was used to calculate the value of the tensor exponential function to illustrate the effectiveness of the proposed continued fraction interpolation method.

Key words: tensor exponential function, Thiele-type generalised tensor rational approximation, continued fraction interpolation

中图分类号:

O241.6

蒋祥龙, 顾传青. Thiele型张量连分式插值及其在张量指数计算中的应用[J]. 上海大学学报(自然科学版), 2021, 27(4): 650-658.

JIANG Xianglong, GU Chuanqing. Thiele-type tensor continued fraction interpolation and its application in the computation of the tensor exponential function[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(4): 650-658.

图/表 1

参考文献 12

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Thiele型张量连分式插值及其在张量指数计算中的应用

Thiele-type tensor continued fraction interpolation and its application in the computation of the tensor exponential function

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