A study on quaternion block quasi-tridiagonal systems

DOI10.1016/j.camwa.2005.08.003zbMath1090.15003OpenAlexW2027725969MaRDI QIDQ815222

N. E. Zubov

Publication date: 16 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.003

zbMATH Keywords

Chebyshev polynomialsquaternionsblock tridiagonal matricesblock quasi-tridiagonal matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Uses Software

• LAPACK
• ScaLAPACK
• PVM

Cites Work

• Unnamed Item
• Symmetric systems with semi-simple structure algebra: The quaternionic case
• The PVM concurrent computing system: Evolution, experiences, and trends
• A footnote on quaternion block-tridiagonal systems
• The matrix equation \(AXB-GXB=E\) over the quaternion field
• On periodic continuants
• On band matrices and their inverses
• How Can We Speed Up Matrix Multiplication?
• Extra High Speed Matrix Multiplication on the Cray-2
• LAPACK Users' Guide
• Numerical Linear Algebra for High-Performance Computers
• ScaLAPACK Users' Guide
• Right eigenvalue equation in quaternionic quantum mechanics
• The Explicit Inverses of Two Commonly Occurring Matrices
• Quaternions and matrices of quaternions

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