On the construction of symmetric nonnegative matrix with prescribed Ritz values

Journal of Linear and Topological Algebra

مقاله 1، دوره 03، شماره 02، شهریور 2014، صفحه 61-66   

نویسندگان

A. M. Nazaria^{* 1}؛ E. Afshari²

¹Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran

²Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran

چکیده

In this paper for a given prescribed Ritz values that satisfy in the some special conditions, we find a symmetric nonnegative matrix, such that the given set be its Ritz values.

کلیدواژه‌ها

Ritz values؛ Nonnegative matrix

مراجع

[1] Bertram Kostant, Nolan Wallach, GelfandZeitlin theory from the perspective of classical mechanics I, Prog. Math. 243 (2006) 319-364.

 

[2] Bertram Kostant, Nolan Wallach, GelfandZeitlin theory from the perspective of classical mechanics II, Prog. Math. 244 (2006) 387-420.

 

[3] Beresford Parlett, Gilbert Strang, Matrices with prescribed Ritz values, Linear Algebra and its Applications 428 (2008) 1725-1739.

 

[4] A. M. Nazari, F. Sherafat, On the inverse eigenvalue problem for nonnegative matrices of order two to five, Linear Algebra Appl. 436 (2012) 1771-1790.