monic polynomial


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Related to monic polynomial: monic equation, Irreducible polynomial

monic polynomial

[¦mō·nik ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial in which the coefficient of the term of highest degree is +1 and the coefficients of the other terms are integers.
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This implies that we can as well look at the monic polynomial p(x)/a = [p.
Revisiting the stability of computing the roots of a quadratic polynomial
n](x), which applies more generally to the coefficients of any monic polynomial f(x) in Z[x].
A topological interpretation of the cyclotomic polynomial
A sequence of monic polynomials [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
Quadratic decomposition of a Laguerre-Hahn polynomial sequence I
n] (x) is the classical monic polynomial, orthogonal with respect to the classical weight w (x).
Extremal interpolatory problem of Fejer type for all classical weight functions
n[greater than or equal to]0] be a monic polynomial sequence (MPS), deg [B.
Inverse finite-type relations between sequences of polynomials
To justify this claim, the main things to note are that (a) a monic polynomial that is irreducible over Z is also irreducible over [Z.
Hamming distance from irreducible polynomials over [F.sub.2]
Notice that a linear functional u is said to be regular [4, 7] if there exists a monic polynomial sequence (MPS) [{[B.
A characterization of weakly regular linear functionals
n](z), the nth monic polynomial orthogonal with respect to [L.
Laurent polynomial perturbations of linear functionals. An inverse problem
In other words, the monic polynomial of degree n which best approximates the zero function on the interval [-1,1] according to the Chebyshev (minimax) norm, is a scaled Chebyshev polynomial.
Electrostatics and ghost poles in near best fixed pole rational interpolation
n] provided that the norm of its product with a monic polynomial is given.
On norms of factors of multivariate polynomials on convex bodies
n-k,R]) and u is a monic polynomial of degree k [member of] {1, .
A remark on uniqueness of best rational approximants of degree 1 in [L.sup.2] of the circle
The minimal polynomial of A for V is the nonzero monic polynomial of lowest degree such that P(A)V = 0.
Oblique projection methods for linear systems with multiple right-hand sides

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