Polynomial interpolation over quaternions
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Publication:401383
DOI10.1016/j.jmaa.2014.07.028zbMath1335.30015arXiv1405.3707OpenAlexW2963193623MaRDI QIDQ401383
Publication date: 26 August 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.3707
Sylvester equationreal quaternionsLagrange interpolation problemLagrange polynomials over quaternions
Functions of hypercomplex variables and generalized variables (30G35) Moment problems and interpolation problems in the complex plane (30E05)
Related Items (8)
Zeros, factorizations and least common multiples of quaternion polynomials ⋮ On the intersection of left and right ideals in the ring of quaternion polynomials ⋮ Confluent Vandermonde matrices, divided differences, and Lagrange–Hermite interpolation over quaternions ⋮ Finite Blaschke products over quaternions: unitary realizations and zero structure ⋮ Equivalence of slice semi-regular functions via Sylvester operators ⋮ Divided Differences and Two-sided Polynomial Interpolation Over Quaternions ⋮ Applications of the Sylvester operator in the space of slice semi-regular functions ⋮ Confluent Vandermonde matrices and divided differences over quaternions
Cites Work
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- Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree
- Polynomials and Vandermonde matrices over the field of quaternions
- A general theory of Vandermonde matrices
- A new theory of regular functions of a quaternionic variable
- Regular Functions of a Quaternionic Variable
- Zero data and interpolation problems for rectangular matrix polynomials
- Polynomial interpolation problem for skew polynomials
- On the bi-ideals in associative rings
- On ideal-quotients and prime ideals
- Equations in Quaternions
- Quaternions and matrices of quaternions
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