Computing quaternionic roots by Newton's method

zbMath1160.65016MaRDI QIDQ871272

Drahoslava Janovská, Gerhard Opfer

Publication date: 16 March 2007

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129871

zbMATH Keywords

Newton's method applied to finding roots of quaternions.Roots of quaternions

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

On the zeroes of Clifford algebra-valued polynomials with paravector coefficients ⋮ Newton method in the context of quaternion analysis ⋮ Matrices over nondivision algebras without eigenvalues ⋮ Algorithms for quaternion polynomial root-finding ⋮ The algebraic Riccati equation for quaternions ⋮ A new method for roots of monic quaternionic quadratic polynomial ⋮ The Jacobi matrix for functions in noncommutative algebras

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