## 590 Citations

Nonconvexities in Univalence

- MathematicsMath. Oper. Res.
- 1983

Conditions under which the set need not be convex are presented, demonstrating first that the set can be diffeomorphic to a convex set and, second, that theset can have holes inside of it.

Domains of unicity

- Mathematics
- 2020

The Gale–Nikaido theorem claims that if the Jacobian of a mapping F is a P-matrix at every point of K and K is a closed rectangular region in R n , then F is globally univalent on K . Under the more…

A global non-linear extension of the Le Chatelier-Samuelson Principle for linear Leontief models

- Mathematics
- 1974

On the Hicksian Laws of Comparative Statics for the Hicksian Case: the Path-Following Approach Using an Alternative Homotopy

- Mathematics
- 1998

The paper discusses an approach to comparative statics in the large by making use of a homotopy continuation method. This is based on the path-following approach presented by the author which is in…

Algebraic Univalence Theorems for Nonsmooth Functions

- Mathematics
- 2000

Abstract A well known univalence result due to D. Gale and H. Nikaido (1965, Math. Ann. 159, 81–93) asserts that if the Jacobian matrix of a differentiable function from a closed rectangle K in R n…

P Matrix Properties, Injectivity, and Stability in Chemical Reaction Systems

- MathematicsSIAM J. Appl. Math.
- 2007

This paper first explores reaction systems and derive results which provide a deep connection between system structure and the P matrix property, then examines a class of systems consisting of reactions coupled to an external rate-dependent negative feedback process and characterize conditions which ensure that the P Matrix property survives the negative feedback.

CP-rays in simplicial cones

- MathematicsMath. Program.
- 1990

The concept of regularity is generalized using this property of every interior point of the triangle being a CP-point, and extended to simplicial cones in ℝn, and necessary and sufficient conditions for this property to hold in them are derived.

Existence and uniqueness of solutions for the generalized linear complementarity problem

- Mathematics
- 1995

Cottle and Dantzig (Ref. 1) showed that the generalized linear complementarity problem has a solution for anyq∈Rm ifM is a vertical blockP-matrix of type (m1,...,mn). They also extended known…

## References

SHOWING 1-10 OF 20 REFERENCES

ON THE THEORY OF SCHLICHT FUNCTIONS

- Mathematics
- 1934

is regular and schlicht in the unit circle, then we may say, for convenience, that $f(z)$ is a function of the class $k$ . If $f(z)$ is a function of the class $k$ and maps the unit circle on a…

Linear Inequalities And Related Systems

- Mathematics
- 1956

The description for this book, Linear Inequalities and Related Systems. (AM-38), will be forthcoming.

Sn~1oz~: Some conditions of macroeconomic stability

- Econometriea
- 1949