Divided Differences and Two-sided Polynomial Interpolation Over Quaternions

DOI10.1007/978-3-319-62362-7_2zbMath1388.30064OpenAlexW2758747093MaRDI QIDQ4637535

Vladimir Bolotnikov

Publication date: 24 April 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62362-7_2

zbMATH Keywords

interpolationpolynomials over quaternions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

On the intersection of left and right ideals in the ring of quaternion polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Slice hyperholomorphic Schur analysis
• Interpolation problems for certain classes of slice hyperholomorphic functions
• Polynomial interpolation over quaternions
• A general theory of Vandermonde matrices
• Vandermonde and Wronskian matrices over division rings
• Interpolation of rational matrix functions
• Two-sided interpolation for matrix functions with entries in the Hardy space
• The matrix equation \(AXB-GXB=E\) over the quaternion field
• On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field
• Matrices of quaternions
• On the Sylvester Equation over Quaternions
• Confluent Vandermonde matrices, divided differences, and Lagrange–Hermite interpolation over quaternions
• Zeros, factorizations and least common multiples of quaternion polynomials
• Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
• Explicit Solutions of Linear Matrix Equations

This page was built for publication: Divided Differences and Two-sided Polynomial Interpolation Over Quaternions