Evaluation schemes in the ring of quaternionic polynomials

DOI10.1007/s10543-017-0667-8OpenAlexW2669421387MaRDI QIDQ1742581

Fernando Miranda, Ricardo Severino, Maria Joana Soares, Maria Irene Falcão

Publication date: 11 April 2018

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1822/54576

zbMATH Keywords

error analysisquaternionspolynomial evaluation

Mathematics Subject Classification ID

Related Items (2)

Factorization and root-finding for polynomials over division quaternion algebras ⋮ The number of zeros of unilateral polynomials over coquaternions revisited

Uses Software

• mctoolbox
• Quaternions

Cites Work

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• Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic
• Function theory in plane and space
• Algorithms for accurate, validated and fast polynomial evaluation
• Numerical methods for roots of polynomials. Part I
• Rounding error propagation in polynomial evaluation schemes
• On improving the accuracy of Horner's and Goertzel's algorithms
• Improved Error Bounds for Inner Products in Floating-Point Arithmetic
• An Algorithm for the Evaluation of Finite Trigonometric Series
• Error Analysis for Fourier Series Evaluation
• On the Structure of the Set of Zeros of Quaternionic Polynomials
• Accuracy and Stability of Numerical Algorithms
• On the Zeros of Polynomials over Division Rings
• An error analysis of Goertzel's (Watt's) method for computing Fourier coefficients
• Equations in Quaternions
• Zeros of quaternion polynomials
• Quaternions and matrices of quaternions

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