Geodesic
A footnote on quaternion block-tridiagonal systems
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 53-55
Two direct methods, for solving a system of linear equations having matrices of quaternion entries as coefficients and independent terms, are proposed. Second-kind Chebyshev polynomials, in a matrix argument, are used as a tool to do certain calculations.
Classification : 65F05
Keywords: block tridiagonal matrices, quaternions, Chebyshev polynomials 
@article{ETNA_1999__9__a8,
     author = {Costa,  Cec{\'\i}lia and Ser\^odio,  Rog\'erio},
     title = {A footnote on quaternion block-tridiagonal systems},
     journal = {Electronic transactions on numerical analysis},
     pages = {53--55},
     year = {1999},
     volume = {9},
     zbl = {0952.65030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a8/}
}
TY  - JOUR
AU  - Costa,  Cecília
AU  - Serôdio,  Rogério
TI  - A footnote on quaternion block-tridiagonal systems
JO  - Electronic transactions on numerical analysis
PY  - 1999
SP  - 53
EP  - 55
VL  - 9
UR  - http://geodesic.mathdoc.fr/item/ETNA_1999__9__a8/
LA  - en
ID  - ETNA_1999__9__a8
ER  - 
%0 Journal Article
%A Costa,  Cecília
%A Serôdio,  Rogério
%T A footnote on quaternion block-tridiagonal systems
%J Electronic transactions on numerical analysis
%D 1999
%P 53-55
%V 9
%U http://geodesic.mathdoc.fr/item/ETNA_1999__9__a8/
%G en
%F ETNA_1999__9__a8
Costa,  Cecília; Serôdio,  Rogério. A footnote on quaternion block-tridiagonal systems. Electronic transactions on numerical analysis, Tome 9 (1999), pp. 53-55. http://geodesic.mathdoc.fr/item/ETNA_1999__9__a8/