Characteristic values of the Jacobian matrix and global invertibility

• Autorzy: L. Andrew Campbell
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26B10: Implicit function theorems, Jacobians, transformations with several variables
• 14R15: Jacobian problem

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 76
• Numer: 1-2
• Strony: 11-20

Daty

wydano

2001

Twórcy

autor

L. Andrew Campbell

• The Aerospace Corp., M1-102 P.O. Box 92957, Los Angeles, CA 90009, U.S.A.

Identyfikatory

DOI

10.4064/ap76-1-2