AbstractA Samuelson map is here defined as a differentiable self-mapping of n-space with the property that the leading principal minors of its Jacobian matrix vanish nowhere. Structure theorems are proved for Samuelson maps that satisfy various simple conditions on the pivots arising from Gaussian elimination of the Jacobian matrix. The theorems yield representations of a Samuelson map as a (unique) composition of invertible maps that alter only a single coordinate
summary:We show that a central linear mapping of a projectively embedded Euclidean $n$-space onto a ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
AbstractA Samuelson map is here defined as a differentiable self-mapping of n-space with the propert...
AbstractA differentiable self-mapping of n-space is Samuelson if the leading principal minors of its...
AbstractA criterion for a Samulson map to be injective and a criterion for such a map to be a global...
AbstractLet F:Rn → Rn be a C1-mapping. It was conjectured by Samuelson that if the upper left-hand p...
Let F:Rn→Rn be a C1-mapping. It was conjectured by Samuelson that if the upper left-hand principal m...
The problem of classification of decomposable (in the sense of Stormer) positive maps between matrix...
It is shown that each positive map between matrix algebras is the sum of a maximal decomposable map ...
Freely decomposable mappings were recently introduced by G. R. Gordh, Jr. and the author in [1] as a...
AbstractWe extend the theory of decomposable maps by giving a detailed description of k-positive map...
When the dimensions of domain and co-domain are the same, the Jacobian of a map is the determinant o...
AbstractWe study 2-dimensional Jacobian maps using so-called Newton–Puiseux charts. These are multi-...
We study the degree of the Gauss map of the theta divisor of principally polarised complex abelian v...
summary:We show that a central linear mapping of a projectively embedded Euclidean $n$-space onto a ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
AbstractA Samuelson map is here defined as a differentiable self-mapping of n-space with the propert...
AbstractA differentiable self-mapping of n-space is Samuelson if the leading principal minors of its...
AbstractA criterion for a Samulson map to be injective and a criterion for such a map to be a global...
AbstractLet F:Rn → Rn be a C1-mapping. It was conjectured by Samuelson that if the upper left-hand p...
Let F:Rn→Rn be a C1-mapping. It was conjectured by Samuelson that if the upper left-hand principal m...
The problem of classification of decomposable (in the sense of Stormer) positive maps between matrix...
It is shown that each positive map between matrix algebras is the sum of a maximal decomposable map ...
Freely decomposable mappings were recently introduced by G. R. Gordh, Jr. and the author in [1] as a...
AbstractWe extend the theory of decomposable maps by giving a detailed description of k-positive map...
When the dimensions of domain and co-domain are the same, the Jacobian of a map is the determinant o...
AbstractWe study 2-dimensional Jacobian maps using so-called Newton–Puiseux charts. These are multi-...
We study the degree of the Gauss map of the theta divisor of principally polarised complex abelian v...
summary:We show that a central linear mapping of a projectively embedded Euclidean $n$-space onto a ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
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