Bounds of Zeros of Polynomial
Annular Bounds for Polynomial Zeros and Schur Stability of Difference Equations
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 782057, 11 pages doi 10 1155/2011/782057 Research Article Annular Bounds for Polynomial Zeros and Schur Stabilit[.] ...
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Abstract. In this paper we find bounds for the zeros of a complex polynomial when the coefficients of the
... M.H.Gulzar, Ajaz Wani and Rubia Akhtar, Zero-free Regions and Bounds for the Number of Zeros of a Polynomial in a Region, International Journal of Advance Research in Science and Eng[r] ...
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Zero-free Regions and Bounds for the Number of Zeros of a Polynomial in a Region
... the bounds for the zeros of a polynomial with restricted coefficients,International Journal of Advance Research in Science and Technology, ...
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On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial
... The highest absolute value of the zeros of the polynomial is 2.055 and by 5th iteration we get 2.05. Continuing the above process, we can find the highest absolute value of the zeros of the ...
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Estimated Bounds for Zeros of Polynomials from Traces of Graeffe Matrices
... complex polynomial P and derive its trace from the classical Jordan normal ...the zeros of P, relying on the limit of Graeffe matrix’s trace of ...tight bounds for the absolute value of the ...
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Vol 3, No 9 (2012)
... a polynomial P (z) = ∑ 𝑎𝑎 𝑛𝑛 0 𝑗𝑗 𝑧𝑧 𝑗𝑗 correspoding to n=2, 3 & 4 and compare the bounds obtained by other authors with our present bounds and thereby give the location of zeros of the ...
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Lower and upper bounds of number of zeros of random algebraic polynomials
... Therefore number of roots and the measure of the exceptional set in the set [ , ] are twice the corresponding value can be considered and now show that this upper bound is same as in [0, 1]. There are many known ...
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The Number Of Zeros Of A Polynomial In A Disk
... Abstract: In this paper we subject the coefficients of a polynomial and their real and imaginary parts to certain restrictions and give bounds for the number of zeros in a specific region. Our ...
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The number of zeros of a polynomial in a disk
... In this paper we give bounds for the number of zeros of a polynomial in a disk when the coefficients of the polynomial are restricted to certain conditions. Our results generalize many known ...
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On zeros of the characteristic polynomial of matroids of bounded tree width
... real zeros is to determine tight bounds on the largest real zero of the chromatic ...characteristic polynomial. The characteristic polynomial of a loopless matroid M, with ground set E and ...
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On the Number of Zeros of a Polynomial in a Given Domain
... obtain bounds for the number of zeros of a polynomial in a given domain when the coefficients of the polynomial or their real or imaginary parts are restricted to certain ...of zeros of ...
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Covariance of the number of real zeros of a random trigonometric polynomial
... asymptotic to 2n/ √ 3. In particular the above work of Wilkins is of interest as it shows that the error term involved in the asymptotic estimate is small and in fact is O(1). However, finding the variance of the number ...
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Zeros of an algebraic polynomial with nonequal means random coefficients
... real zeros of a random algebraic polynomial a 0 + a 1 x + a 2 x 2 + ··· + a n− 1 x n− 1 ...random polynomial is dictated by the mean of the first group of the coefficients in the interval (−1, 1) and ...
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A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems
... Finding zeros of polynomial systems is a fundamental problem in scientific computing. Newton’s method is widely used to solve this problem. For a fixed approximate solution of a system, we can use the ...
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Some Localization of the Zeros of the Third Derivatives of a Complex Polynomial the Disks or Generalized Cardioid Interioriors
... For the first time here, we consider a generalized cardioid. We see that the roots of polynomial must belong to the generalized cardioid interiorities, created by the zeros of the given polynomial. ...
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AVERAGE NUMBER OF REAL ZEROS OF RA NDOM TRIGONOMETRIC POLYNOMIAL
... KEYWORDS AND PHRASES: Independent, identically distributed random variables, random algebraic polynomial, random algebraic equation, real roots, domain of attraction of.. the nor[r] ...
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ZEROS, CRITICAL POINTS, AND COEFFICIENTS OF RANDOM FUNCTIONS
... the zeros of these functions are then ...of zeros of a random polynomial in any measurable subset of the real numbers, where coefficients of the polynomial are IID standard normal ...of ...
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Expected number of zeros of a random trigonometric polynomial
... It will be convenient to evaluate the EN(N-1) rather than the variance itself since N(N-1) can be expressed much more simply. The proof is similar to that established above for covariance, therefore we only point out the ...
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On the Zeros of the Polar Derivative of a Polynomial
... Reddy, On the Zeros of Polar Derivatives, International Journal of Recent Research in Mathematics, Computer Science and Information Technology, Vol.2, Issue 1 April 2015- September 2015,[r] ...
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M3Sem2Rev1 2018
... has zeros of even multiplicity at and and zeros of odd multiplicity at and ...two zeros of even multiplicity and two zeros of odd multiplicity, its degree is at least ...
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