On the Solution of an Inverse Eigenvalue Problem by Newton’s Method on a Fibre Bundle with Structure Group SO(n)

Emmanuel Akweittey; Kwasi Baah Gyamfi; Gabriel Obed Fosu

doi:https://doi.org/10.14445/22315373/IJMTT-V65I12P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P509

On the Solution of an Inverse Eigenvalue Problem by Newton’s Method on a Fibre Bundle with Structure Group SO(n)

Emmanuel Akweittey, Kwasi Baah Gyamfi, Gabriel Obed Fosu

Abstract

In this paper a Newton-type algorithm is used to generate non-singular symmetric matrices of rank one, using a singular symmetric matrix of the same rank as an initial matrix for the iteration. In particular, numerical computations are performed with two different diagonal matrices which are in the neighbourhood of the eigenvalues of the initial singular symmetric matrix to construct a three by three and a four by four non-singular symmetric matrices to illustrate our result.

Keywords

Singular Symmetric Matrix, Non-Singular Symmetric Matrices, Diagonal Matrix, Eigenvalue.

References

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[4] Chu Moody, Golub Gene, and Golub H Gene. Inverse eigenvalue problems: theory, algorithms, and applications, volume 13. Oxford University Press, 2005.
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[6] K. Baah Gyamfi, Francis T. Oduro, and Anthony Y. Aidoo. Solution of an inverse eigenvalue problem by newton’s method on a fibre bundle with structure group so(n). Journal of Mathematics and System Science, 3:124–128, 2013.
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Citation :

Emmanuel Akweittey, Kwasi Baah Gyamfi, Gabriel Obed Fosu, "On the Solution of an Inverse Eigenvalue Problem by Newton’s Method on a Fibre Bundle with Structure Group SO(n)," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 12, pp. 83-93, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I12P509