Results 131 to 140 of about 2,960 (152)

Polynomials with some Prescribed Zeros

Canadian Mathematical Bulletin, 1967
In connection with various problems concerning polynomialson the unit interval, the Tchebycheff polynomialis known to play a very important role [11, problem 34].
Rahman, Q. I., Khan, Mohd. Ali
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On Zeros of Interpolating Polynomials

SIAM Journal on Mathematical Analysis, 1986
Polynomials to be used in interpolation of digital signals are called interpolating polynomials. They may require modification to assure convergence of their reciprocals on the unit circle. This paper concerns discrete time windowing, which consists of scaled truncation of a series such as \[ P_ N(z)\quad \triangleq \quad 1+\sum^{\infty}_{m=1}(z^ m+z^{-
Barnard, Roger W., Ford, Wayne T., Wang, Hsing Y.   +2 more
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Zero-Free Regions of Polynomials

The American Mathematical Monthly, 1954
(1954). Zero-Free Regions of Polynomials. The American Mathematical Monthly: Vol. 61, No. 10, pp. 682-687.
Cowling, V. F., Thron, W. J.
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PARTITION POLYNOMIALS AND THEIR ZEROS

Analysis, 2001
Define \(\omega(k):=(3k^2-k)/2\). The main object of study in this paper are the \textit{partition polynomials} \[ \mathcal P_n(x):=x^{\omega(n)}+\sum_{k=1}^{n-1}(-1)^k \left[x^{\omega(n)-\omega(k)}+x^{\omega(n)-\omega(-k)}\right]+(-1)^n \] (the name arises from the fact that these are the characteristic polynomials which arise from Euler's recurrence ...
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On the Complexity of Polynomial Zeros

SIAM Journal on Computing, 1992
An algorithm for simultaneous approximation of all zeros of a polynomial introduced by Householder is considered. A modification suitable for parallel computation is proposed. The root-finding problem for a polynomial of degree \(n\), having zeros \(z_ i\), \(i=1,\dots,n\) is \(NC\)- reduced to finding a polynomial \(\alpha(z)\) such that \(| \alpha(z_{
BINI, DARIO ANDREA, GEMIGNANI, LUCA
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Zeros of Graph-Counting Polynomials

Communications in Mathematical Physics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Polynomials with Real Zeros

Canadian Mathematical Bulletin, 1968
Letbe a polynomial of degree n with real and non-negative zeros x1 ≤ x2 ≤ … xn. The zeros xj. will be said to have extent 1 ifLet ξ1 ≤ ξ2 ≤ … ξn-1 be the zeros of the derived polynomial p'(x). The zeros ξ1, ξ2, …, ξn-1 are real and non-negative, and moreover their extent can be at most equal to the extent of the zeros x1, x2, …, xn.
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Zeros of real polynomials

Linear and Multilinear Algebra, 2000
We study vector subspaces of the set of zeros of real valued symmetric odd polynomials and of real homogeneous polynomials of low degree.
Richard Aron, Raquel Gonzalo, Andriy Zagorodnyuk   +2 more
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Matrix zeros of polynomials

The Mathematical Gazette, 2020
The concepts of polynomials and matrices essentially expand and enhance the elementary arithmetic of numbers. Once introduced, polynomials and matrices open up new interesting mathematical challenges which extend to new fields of mathematical explorations within university mathematics.
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