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MOC
1998
92views more  MOC 1998»
13 years 5 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
13 years 10 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
SIAMSC
2008
113views more  SIAMSC 2008»
13 years 5 months ago
Statistical Condition Estimation for the Roots of Polynomials
This paper presents fast and reliable condition estimates for the roots of a real polynomial based on the method of statistical condition estimation (SCE) by Kenney and Laub. Using...
A. J. Laub, J. Xia
ENGL
2008
192views more  ENGL 2008»
13 years 5 months ago
Sensitivity Analysis for Direction of Arrival Estimation using a Root-MUSIC Algorithm
An array antenna system with innovative signal processing can enhance the resolution of a signal direction of arrival (DOA) estimation. Super resolution algorithms take advantage o...
Zekeriya Aliyazicioglu, H. K. Hwang, Marshall Gric...
MOC
1998
65views more  MOC 1998»
13 years 5 months ago
Exceptional units in a family of quartic number fields
Abstract. We determine all exceptional units among the elements of certain groups of units in quartic number fields. These groups arise from a oneparameter family of polynomials w...
Gerhard Niklasch, Nigel P. Smart