Computation of Determinants and Inverses of Rectangular or Singular Matrices Using Residue Arithmetic
Publications de l'Institut Mathématique, _N_S_60 (1996) no. 74, p. 15
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We make an application of the single or multiple modulus
residue arithmetic in exact computation of the determinants and
pseudoinverses of rectangular or singular matrices with rational
entries, using the notions introduced by M. Stojaković and
M. Radić. Proper selections of a prime modulus (or moduli) in
particular algorithms are given. Also, a comparison of different
estimates for the suitable choice of modulus (or moduli) is given.
@article{PIM_1996_N_S_60_74_a2,
author = {Predrag Stanimirovi\'c},
title = {Computation of {Determinants} and {Inverses} of {Rectangular} or {Singular} {Matrices} {Using} {Residue} {Arithmetic}},
journal = {Publications de l'Institut Math\'ematique},
pages = {15 },
year = {1996},
volume = {_N_S_60},
number = {74},
zbl = {1029.65502},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1996_N_S_60_74_a2/}
}
TY - JOUR AU - Predrag Stanimirović TI - Computation of Determinants and Inverses of Rectangular or Singular Matrices Using Residue Arithmetic JO - Publications de l'Institut Mathématique PY - 1996 SP - 15 VL - _N_S_60 IS - 74 UR - http://geodesic.mathdoc.fr/item/PIM_1996_N_S_60_74_a2/ LA - en ID - PIM_1996_N_S_60_74_a2 ER -
%0 Journal Article %A Predrag Stanimirović %T Computation of Determinants and Inverses of Rectangular or Singular Matrices Using Residue Arithmetic %J Publications de l'Institut Mathématique %D 1996 %P 15 %V _N_S_60 %N 74 %U http://geodesic.mathdoc.fr/item/PIM_1996_N_S_60_74_a2/ %G en %F PIM_1996_N_S_60_74_a2
Predrag Stanimirović. Computation of Determinants and Inverses of Rectangular or Singular Matrices Using Residue Arithmetic. Publications de l'Institut Mathématique, _N_S_60 (1996) no. 74, p. 15 . http://geodesic.mathdoc.fr/item/PIM_1996_N_S_60_74_a2/