Some remarks on iterative methods for systems of linear equations

Jarmila Šotová; Ivana Horová

Acta Mathematica et Informatica Universitatis Ostraviensis (2001)

  • Volume: 09, Issue: 1, page 75-87
  • ISSN: 1804-1388

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Šotová, Jarmila, and Horová, Ivana. "Some remarks on iterative methods for systems of linear equations." Acta Mathematica et Informatica Universitatis Ostraviensis 09.1 (2001): 75-87. <http://eudml.org/doc/23843>.

@article{Šotová2001,
author = {Šotová, Jarmila, Horová, Ivana},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {cycle; diagonable matrix; iterative methods; periodicity; convergence},
language = {eng},
number = {1},
pages = {75-87},
publisher = {University of Ostrava},
title = {Some remarks on iterative methods for systems of linear equations},
url = {http://eudml.org/doc/23843},
volume = {09},
year = {2001},
}

TY - JOUR
AU - Šotová, Jarmila
AU - Horová, Ivana
TI - Some remarks on iterative methods for systems of linear equations
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2001
PB - University of Ostrava
VL - 09
IS - 1
SP - 75
EP - 87
LA - eng
KW - cycle; diagonable matrix; iterative methods; periodicity; convergence
UR - http://eudml.org/doc/23843
ER -

References

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  1. Berman A., Plemmons R. J., Nonnegative Matrices in the Mathematical Sciences, SIAM, Philadelphia (1994). (1994) Zbl0815.15016MR1298430
  2. Gantmacher F.R., Teorija matric, Nauka Moskva (1968) (in Russian). (1968) 
  3. Fiedler M., Special Matrices and their Applications in Numerical Mathematics, (in Czech), SNTL Praha (1981). (1981) 
  4. Horn R. A., Johnson C. R., Matričnyj analiz, (Russian translation), Mir Moskva (1989). (1989) MR1011253
  5. Horn R. A., Johnson C. R., Topics of Matrix Analysis, Cambridge University Press (1995). (1995) MR1084815
  6. Smítal J., O funkciách a funkcionálnych rovniciach, Alfa Bratislava (1984). (1984) 
  7. Skula L., A note on Diagonable Matrices, Proceedings and Abstracts of ESES'96, Masaryk University, 147-149, (1996). (1996) MR1630865
  8. Skula L., Involutions for Matrices and Generalized Inverses, Linear Algebra and its Applications 271,283-308 (1998). (1998) Zbl0890.15014MR1485173
  9. Sarkovskij A.N., O ciklach i struktuře nepreryvnogo preobrazovanija, Ukrain. Mat. Žurnál 17, No 3, 104-111 (1965). (1965) 
  10. Šotová J., Cykly v iteracních metodách pro řešeni systémů lineárních rovnic, PhD Thesis, Brno (1997). (1997) 

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