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Vol.1 , No. 1, Publication Date: Jan. 16, 2015, Page: 7-11
&description=In recent paper [1] (Juang Peng, Xi-Yan Hu. Lei Zang) two inverse eigenvalue problems are solved and in the order article [2] (Hubert Pickmann, Juan Egana, Ricardo L. Soto), a correction, for one of the problems stated in the first article, has been presented as well. In this article, according to the article [2], a solution which is different from the one in the article [1] has been presented for one of the problems which are in the article [1]. The matrix solution in the article [1] and the one which is presented by us, in the main diagonal, are similar, but instead of first column and row, we valued second column and row, furthermore other element of the matrix are considered null.&picture=http://www.aascit.org/aascit/decorators/img/journal/928.jpg)
| [1] | A. M. Nazari, Department of Mathematics, Arak University, Arak, Iran. |
| [2] | M. Alibakhshi, Department of Mathematics, Arak University, Arak, Iran. |
In recent paper [1] (Juang Peng, Xi-Yan Hu. Lei Zang) two inverse eigenvalue problems are solved and in the order article [2] (Hubert Pickmann, Juan Egana, Ricardo L. Soto), a correction, for one of the problems stated in the first article, has been presented as well. In this article, according to the article [2], a solution which is different from the one in the article [1] has been presented for one of the problems which are in the article [1]. The matrix solution in the article [1] and the one which is presented by us, in the main diagonal, are similar, but instead of first column and row, we valued second column and row, furthermore other element of the matrix are considered null.
Keywords
Symmetric Bordered Diagonal Matrices, Inverse Eigenvalue Problems
Reference
| [01] | J. PENG, X. Y. HU, L.ZHANG, Two inverse eigenvalue problems for a special kind of matrices, Linear Algebra and its Applications 416 (2006) 336347. |
| [02] | HUBERT PICKMANN, JUAN EGANA, RICARDO L. SOTO, Extermal inverse eigenvalue problem for bordered diagonal matrices, Linear Algebra and its Applications 427 (2007) 256271. |
| [03] | J. STOER AND R. BULIRCH, Introduction to numerical analysis, Springer Verlag 1991. |
| [04] | R. Lowey, D. London, A note on an inverse problem for nonnegative matrices, Linear and Multilinear Algebra 6(1978)83--90. |
| [05] | Ricardo L. Soto 2 and Ana I. Julio, A Note on the Symmetric Nonnegative Inverse Eigenvalue Problem, International Mathematical Forum, Vol. 6, 2011, no. 50, 2447 - 2460. |
| [06] | A.M. Nazari a, F. Sherafat, On the inverse eigenvalue problem for nonnegative matrices of order two to five, Linear Algebra and its Applications 436 (2012) 1771–-1790. |
| [07] | A. M. Nazari, S. Kamali Maher, On the nonnegative inverse eigenvalue problem of traditional matrices, Journal of Linear and Topological Algebra Vol. 02, No. 03, 2013, 161- 167. |
| [08] | Natália Bebiano, C.M. da Fonsecaa, João da Providência, An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces, Linear Algebra and its Applications 435 (2011) 2033-2045. |
| [09] | A.M. Nazari, F. Mahdinasab, Inverse eigenvalue problem of distance matrix via orthogonal matrix, Linear Algebra and its Applications 450 (2014) 202-216. |
