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MOC
1998
92views more  MOC 1998»
13 years 4 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 9 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 4 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 4 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 4 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