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Inverse spectral problems for arrowhead matrices | ||
Journal of Mathematical Modeling | ||
دوره 10، شماره 2، شهریور 2022، صفحه 213-225 اصل مقاله (180 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2021.19736.1695 | ||
نویسندگان | ||
Ferya Fathi1؛ Mohammad Ali Fariborzi Araghi* 2؛ Seyed Abolfazl Shahzadeh Fazeli3 | ||
1Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran | ||
2Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
3Department of Computer Science,Yazd University, Yazd, Iran | ||
چکیده | ||
The problem of constructing a matrix by its spectral information is called inverse eigenvalue problem (IEP) which arises in a variety of applications. In this paper, we study an IEP for arrowhead matrices in different cases. The problem involves constructing of the matrix by some eigenvalues of each of the leading principal submatrices and one eigenpair. We will also investigate this problem and its variants in the cases of matrix entries being real, nonnegative, positive definite, complex and equal diagonal entries. To solve the problems, a new method to establish a relationship between the IEP and properties of symmetric and general form of matrices is developed. The necessary and sufficient conditions of the solvability of the problems are obtained. Finally, some numerical examples are presented. | ||
کلیدواژهها | ||
Inverse eigenvalue problem؛ Arrowhead matrix؛ Principal submatrix | ||
آمار تعداد مشاهده مقاله: 725 تعداد دریافت فایل اصل مقاله: 883 |