Extremal eigenvalues of real symmetric matrices with entries in an interval

SIAM Journal on Matrix Analysis and Applications

Volumn 27, Issue 3, 2005, Pages 851-860

  Zhan, Xingzhi ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

Eigenvalue; Spread; Symmetric matrix

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; OPTIMIZATION;

EIGENVALUE; SPREAD; SYMMETRIC MATRIX;

MATRIX ALGEBRA;

EID: 33746172087     PISSN: 08954798     EISSN: 10957162     Source Type: Journal    
DOI: 10.1137/050627812     Document Type: Article

References (7)

1. R. BHATIA, Matrix Analysis, Springer-Verlag, New York, 1997.
2. Q. CONSTANTINE, Lower bounds on the spectra, of symmetric matrices with nonnegative entries, Linear Algebra Appl., 68 (1980), pp. 171-178.
3. G. FINKE, R. E. BURKARD, AND F. RENDL, Quadratic assignment problems, in Surveys of Combinatorial Optimization, North-Holland, Amsterdam, 1987, pp. 61-82.
4. R. A. HORN AND C. R. JOHNSON, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
5. E. JIANG AND X. ZHAN, Lower bounds for the spread of a Hermitian matrix, Linear Algebra Appl., 206 (1997), pp. 163-163.
6. H. MINC, Nonnegative Matrices, John Wiley & Song, New York, 1988.
7. R. ROTH, On the eigenvectors belonging to the minimum eigenvalue of an essentially nonnegative symmetric matrix with bipartite graph, Linear Algebra Appl., 118 (1989), pp. 1-10.