A REAL SYMMETRICAL TRIDIAGONAL MATRIX WITH A GIVEN CHARACTERISTIC POLYNOMIAL

Authors
SCHMEISSER G
Citation
G. Schmeisser, A REAL SYMMETRICAL TRIDIAGONAL MATRIX WITH A GIVEN CHARACTERISTIC POLYNOMIAL, Linear algebra and its applications, 193, 1993, pp. 11-18
Citations number
3
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
193
Year of publication
1993
Pages
11 - 18
Database
ISI
SICI code
0024-3795(1993)193:<11:ARSTMW>2.0.ZU;2-D
Abstract
Given a polynomial u(x) = x(n) + a(n-1) x(n-1) + ... + a0, a(nu) is-an -element-of R, nu = 0, 1, ..., n - 1, having only real zeros, we const ruct a real symmetric tridiagonal matrix whose characteristic polynomi al is equal to (-1)(n)u(x). This is a complete solution to a problem r aised and partly solved by M. Fiedler.