Characteristic values of the Jacobian matrix and global invertibility

@inproceedings{CampbellCharacteristicVO,
  title={Characteristic values of the Jacobian matrix and global invertibility},
  author={L. Andrew Campbell}
}
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… CONTINUE READING