Zeros, factorizations and least common multiples of quaternion polynomials
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Publication:4588373
DOI10.1142/S021949881750181XzbMath1383.16027WikidataQ114072517 ScholiaQ114072517MaRDI QIDQ4588373
Publication date: 26 October 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Ordinary and skew polynomial rings and semigroup rings (16S36) Polynomials and rational functions of one complex variable (30C10) Numerical computation of roots of polynomial equations (65H04)
Related Items (6)
Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials ⋮ Cyclic matrices and polynomial interpolation over division rings ⋮ On the intersection of left and right ideals in the ring of quaternion polynomials ⋮ Finite Blaschke products over quaternions: unitary realizations and zero structure ⋮ Divided Differences and Two-sided Polynomial Interpolation Over Quaternions ⋮ On the quaternionic quadratic equation \(xax+bx+xc+d=0\)
Cites Work
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- Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
- Polynomial interpolation over quaternions
- Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
- Extension results for slice regular functions of a quaternionic variable
- Zeros of regular functions and polynomials of a quaternionic variable
- On the multiplicity of zeroes of polynomials with quaternionic coefficients
- A general theory of Vandermonde matrices
- Vandermonde and Wronskian matrices over division rings
- Wedderburn polynomials over division rings. I.
- Similarity reduction of matrix over a quaternion division ring
- Matrices of quaternions
- NONCOMMUTATIVE POLYNOMIAL MAPS
- Regular Functions of a Quaternionic Variable
- Confluent Vandermonde matrices, divided differences, and Lagrange–Hermite interpolation over quaternions
- Algebraic andF-Independent Sets in 2-Firs
- NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS
- On the Structure of the Set of Zeros of Quaternionic Polynomials
- On the iteration of quaternionic moebius transformations
- A Structure Formula for Slice Monogenic Functions and Some of its Consequences
- Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
- Moebius transformations and the Poincare distance in the quaternionic setting
- On the Zeros of Polynomials over Division Rings
- Equations in Quaternions
- Computing the zeros of quaternion polynomials.
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