A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE PTH ROOT

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

SADEGHI A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2015 | Volume:5 | Issue:1 Page(s): 69-79

Download Full-Text

View:

274

Download:

Cites:

Information Journal Paper

Title

A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE PTH ROOT

Author(s)

SADEGHI A. | Issue Writer Certificate

Keywords

INVERSE MATRIX PTH ROOTS

COUPLED NEWTON'S ITERATIONS

CONVERGENCY

STABILITY

Abstract

The computation of the inverse roots of matrices arises in evaluating unsymmetric eigenvalue problems, solving nonlinear matrix equations, computing some matrix functions, control theory and several other areas of applications. It is possible to approximate the matrix inverse pth roots by exploiting a specialized version of Newton's method, but previous researchers have mentioned that some iterations have poor convergence and STABILITY proper- ties. In this work, a stable recursive technique to evaluate an inverse pth root of a given matrix is presented. The scheme is analyzed and its properties are investigated. Computational experiments are also performed to illustrate the strengths and weaknesses of the proposed method.

Cites

No record.

References

Cite

APA: Copy

SADEGHI, A.. (2015). A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE P^TH ROOT. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 5(1), 69-79. SID. https://sid.ir/paper/328304/en

Vancouver: Copy

SADEGHI A.. A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE P^TH ROOT. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2015;5(1):69-79. Available from: https://sid.ir/paper/328304/en

IEEE: Copy

A. SADEGHI, “A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE P^TH ROOT,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 5, no. 1, pp. 69–79, 2015, [Online]. Available: https://sid.ir/paper/328304/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops