Degree of mapping for nonlinear mappings of monotone type: Strongly nonlinear mapping

Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping.

The classical degree function constructed earlier for pseudomonotone mappings has been used to develop a broader degree theory of classical type for the sum of a maximal monotone map from a reflexive Banach space to its dual together with a bounded pseudomonotone map. The proof uses the generalized Yosida approximation of the maximal monotone mapping.

Inversion of Gravity Data by Constrained Nonlinear Optimization based on nonlinear Programming Techniques for Mapping Bedrock Topography

A constrained nonlinear optimization method based on nonlinear programming techniques has been applied to map geometry of bedrock of sedimentary basins by inversion of gravity anomaly data. In the inversion, the applying model is a 2-D model that is composed of a set of juxtaposed prisms whose lower depths have been considered as unknown model parameters. The applied inversion method is a nonli...

Nonlinear Texture Mapping Techniques For

S As graphics hardware is available on most PCs these days, hardware-assisted real-time rendering becomes more important in many applications, such as games or virtual reality. Texture mapping is also important in graphics rendering, because it gives much visual detail without modeling of complex geometry. Conventional texture mapping by graphics hardware relies on the linear interpolations of ...

Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces

Nonlinear Mapping Networks

Among the many dimensionality reduction techniques that have appeared in the statistical literature, multidimensional scaling and nonlinear mapping are unique for their conceptual simplicity and ability to reproduce the topology and structure of the data space in a faithful and unbiased manner. However, a major shortcoming of these methods is their quadratic dependence on the number of objects ...