BOUNDS FOR EIGENVALUES USING THE TRACE AND DETERMINANT

Authors
MERIKOSKI JK VIRTANEN A
Citation
Jk. Merikoski et A. Virtanen, BOUNDS FOR EIGENVALUES USING THE TRACE AND DETERMINANT, Linear algebra and its applications, 264, 1997, pp. 101-108
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
264
Year of publication
1997
Pages
101 - 108
Database
ISI
SICI code
0024-3795(1997)264:<101:BFEUTT>2.0.ZU;2-B
Abstract
Let A be a square matrix with real and positive eigenvalues lambda(1) greater than or equal to ... greater than or equal to lambda(n) > 0, a nd let 1 less than or equal to k less than or equal to l less than or equal to n. Bounds for lambda(k) ... lambda(l) and lambda(k) + ... + l ambda(l), involving k, l, n, tr A, and det A only, are presented. (C) 1997 Elsevier Science Inc.