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Name:  
Miloslav Znojil  
Reviewer number:  
9689  
Email:  
znojil@ujf.cas.cz  
Item's zblNumber:  
DE 019 153 470  
Author(s):  
Huang, TingZhu; Xu, ChengXian:  
Shorttitle:  
Bounds for the extreme eigenvalues of symmetric matrices  
Source:  
Z. Angew. Math. Mech. 83, No 3, 214  216 (2003)  
Classification:  
 
Primary Classification:  
 
Secondary Classification:  
 
Keywords:  
Mmatrices; Stieltjes matrices; inverse Stieltjes matrices; bounds for all eigenvalues;  
Review:  
Six theorems on three pages (in fact, four of them just cited), plus corollaries and a few threebythree examples: Given a trace and the Fnorm of a matrix A [and a weighted difference h(A) of their squares] in the class of the symmetric Mmatrices (called Stieltjes matrices), the author constructs (and proves) several bothsided estimates for all the eigenvalues (possibly, of the inverse) of A.  
Remarks to the editors:  