Sherman-Morrison-Woodbury Formula for Linear Integrodifferential Equations-Reference-Cited by-同舟云学术

Sherman-Morrison-Woodbury Formula for Linear Integrodifferential Equations

Published:2016 Issue: Volume:2016 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Wu Feng¹^ORCID

Affiliation:

1. State Key Laboratory of Structural Analysis of Industrial Equipment, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China

Abstract

The well-known Sherman-Morrison-Woodbury formula is a powerful device for calculating the inverse of a square matrix. The paper finds that the Sherman-Morrison-Woodbury formula can be extended to the linear integrodifferential equation, which results in an unified scheme to decompose the linear integrodifferential equation into sets of differential equations and one integral equation. Two examples are presented to illustrate the Sherman-Morrison-Woodbury formula for the linear integrodifferential equation.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2016/9418730.pdf

Reference13 articles.

1. An Integro-Differential Equation for Bose–Einstein Condensates

2. On the numerical solution of an integro-differential equation arising from wave-power hydraulics

3. Theoretical analysis of the warm-up of monolithic reactors under non-reacting conditions

4. Existence and stability of traveling waves for an integro-differential equation for slow erosion

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Modified User Grouping and Hybrid Precoding for Information Decoding and Energy Harvesting in Hardware Impaired Point-To-Point MM-Wave Massive MIMO NOMA;IEEE Access;2023

2. Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell;Journal of Mathematical Biology;2020-03-20