A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion

WANG Tong; GE Yaojun; CAO Shuyang

Chinese︱Feedback︱Save this page

• Elaborating Academic Views 　　　　 • Exchanging Innovative Ideas
• Protecting Intellectual Properties 　　• Fast Sharing Science Papers

Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China

Home > Papers

A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion

WANG Tong 1 *,GE Yaojun 2,CAO Shuyang 2

1.State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University

2.State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092

*Correspondence author

#Submitted by

Subject:

Funding: the National Natural Science Foundation of China （No.No. 50978202）, the NSFC-JST Cooperative Research Project （No.No. 51021140005）

Opened online: 2 September 2011

Accepted by: none

Citation: WANG Tong,GE Yaojun,CAO Shuyang.A Matrix-array Form for the Multidimensional Discrete Poisson Equation and its Solvability Criterion[OL]. [ 2 September 2011] http://en.paper.edu.cn/en_releasepaper/content/4441076

The multidimensional discrete Poisson equation (MDPE) frequently encountered in science and engineering can be expressed, in many cases, as a brief matrix-array equation firstly defined in this paper. This new-style equation consists of a series of small matrices and can be transformed using the Kronecker sum into a familiar system of linear algebraic equations, AX=b. Then it is proved that the eigenvalues and corresponding eigenvectors of A can be obtained directly from those of these small matrices consisting in that matrix-array equation. Based on this connection, a solvability criterion for the matrix-array equation is proposed. Finally, an application of this criterion is carried out, and an inspiration from the above connection are presented and analyzed.

Keywords:Matrix-array equation; Multidimensional discrete Poisson equation; Solvability criterion; Kronecker sum; Eigenvalue; Eigenvector

For this paper

● PDF (0B)
● Revision 0 　　
● Print this paper
● Recommend this paper to a friend
● Add to my favorite list

Saved Papers

Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded	249
Bookmarked	0
Recommend	5
Comments	Array

Submit your papers

Alert Name:
Alerting to:
Authentication email will be sent to your email address in 24 hours
Frequency:
Email Message Format:	Plain text Graphical(HTML)

Complete the form below and we will recommend the selected titles to your friends on your behalf. * Indicates a required field.
Your name*:
Your email address*:
Recipient's name*:
Recipient's email address*:
(multiple recipient's names and email addresses should be separated with semicolons)
Your comments:	I thought you would find the page(s) useful.

Your name:
Your email address:
Recipient's name:
Recipient's email address:
(multiple recipient's names and email addresses should be separated with semicolons)
Your comments:	I thought you would find this page useful.

Disclaimer: This message was sent to your friend using the "Send it to a friend" facility on the Sciencepaper Online’ WWW site, http://www.paper.edu.cn/en. The Sciencepaper Online is not responsible for the content of this email, and anything said in this email does not necessarily reflect the Sciencepaper Online's views.

	Check out RSS, or use RSS reader to subscribe this item

Saved Papers