The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function

Joint Authors

Liu, Yong
Gu, Chuanqing

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-06-19

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

Tensor exponential function is an important function that is widely used.

In this paper, tensor Pade´-type approximant (TPTA) is defined by introducing a generalized linear functional for the first time.

The expression of TPTA is provided with the generating function form.

Moreover, by means of formal orthogonal polynomials, we propose an efficient algorithm for computing TPTA.

As an application, the TPTA for computing the tensor exponential function is presented.

Numerical examples are given to demonstrate the efficiency of the proposed algorithm.

American Psychological Association (APA)

Gu, Chuanqing& Liu, Yong. 2018. The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1185972

Modern Language Association (MLA)

Gu, Chuanqing& Liu, Yong. The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function. Journal of Function Spaces No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1185972

American Medical Association (AMA)

Gu, Chuanqing& Liu, Yong. The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1185972

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185972