Confluent Vandermonde matrices, divided differences, and Lagrange–Hermite interpolation over quaternions
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Publication:2980264
DOI10.1080/00927872.2016.1172609zbMath1386.15058arXiv1505.03574OpenAlexW1518270104MaRDI QIDQ2980264
Publication date: 28 April 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.03574
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Skew fields, division rings (12E15)
Related Items (4)
Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials ⋮ Cyclic matrices and polynomial interpolation over division rings ⋮ Zeros, factorizations and least common multiples of quaternion polynomials ⋮ Divided Differences and Two-sided Polynomial Interpolation Over Quaternions
Cites Work
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- Vandermonde and Wronskian matrices over division rings
- Theory of non-commutative polynomials
- Kötter interpolation in skew polynomial rings
- Confluent Vandermonde matrices and divided differences over quaternions
- A new theory of regular functions of a quaternionic variable
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- Regular Functions of a Quaternionic Variable
- Algebraic andF-Independent Sets in 2-Firs
- The Generalized Vandermonde Matrix
- Polynomial interpolation problem for skew polynomials
- Lagrange polynomials over Clifford numbers
- 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
- Equations in Quaternions
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