Perturbation Analysis of the Nonlinear Matrix Equation X-∑i=1mAi*XpiAi=Q

Author

Li, Jing

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-06-11

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

Consider the nonlinear matrix equation X-∑i=1mAi*XpiAi=Q with 0

Two perturbation bounds and the backward error of an approximate solution to the equation are derived.

Explicit expressions of the condition number for the equation are obtained.

The theoretical results are illustrated by numerical examples.

American Psychological Association (APA)

Li, Jing. 2013. Perturbation Analysis of the Nonlinear Matrix Equation X-∑i=1mAi*XpiAi=Q. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-513152

Modern Language Association (MLA)

Li, Jing. Perturbation Analysis of the Nonlinear Matrix Equation X-∑i=1mAi*XpiAi=Q. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-513152

American Medical Association (AMA)

Li, Jing. Perturbation Analysis of the Nonlinear Matrix Equation X-∑i=1mAi*XpiAi=Q. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-513152

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-513152