Characteristic values of the Jacobian matrix and global invertibility

L. Andrew Campbell. "Characteristic values of the Jacobian matrix and global invertibility." Annales Polonici Mathematici 76.1-2 (2001): 11-20. <http://eudml.org/doc/281073>.

@article{L2001,
abstract = {Characteristic matrix values (singular values, eigenvalues, and pivots arising from Gaussian elimination) for the Jacobian matrix and its inverse are considered for maps of real n-space to itself with a nowhere vanishing Jacobian determinant. Bounds on these are related to global invertibility of the map. Polynomial maps with a constant nonzero Jacobian determinant are a special case that allows for sharper characterizations.},
author = {L. Andrew Campbell},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {1-2},
pages = {11-20},
title = {Characteristic values of the Jacobian matrix and global invertibility},
url = {http://eudml.org/doc/281073},
volume = {76},
year = {2001},
}

TY - JOUR
AU - L. Andrew Campbell
TI - Characteristic values of the Jacobian matrix and global invertibility
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 11
EP - 20
AB - Characteristic matrix values (singular values, eigenvalues, and pivots arising from Gaussian elimination) for the Jacobian matrix and its inverse are considered for maps of real n-space to itself with a nowhere vanishing Jacobian determinant. Bounds on these are related to global invertibility of the map. Polynomial maps with a constant nonzero Jacobian determinant are a special case that allows for sharper characterizations.
LA - eng
UR - http://eudml.org/doc/281073
ER -