Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
On the errors-in-variables model with equality and inequality constraints for selected numerical examples
Abstract It is well known that the errors-in-variables (EIV) model has been treated as a special case of the traditional geodetic model, the nonlinear Gauss–Helmert model (GHM), for more than a century. In this contribution, an adjustment of the EIV model with equality and inequality constraints is investigated based on the nonlinear GHM. In each iteration, the constrained EIV model is linearized to form a quadratic program. Furthermore, the precision description is investigated for the mixed constrained problem. The demonstrated results from the numerical examples show that this approach avoids the large computational expenses of the existing combinatorial solution that normally accompany the number of inequality constraints.
On the errors-in-variables model with equality and inequality constraints for selected numerical examples
Abstract It is well known that the errors-in-variables (EIV) model has been treated as a special case of the traditional geodetic model, the nonlinear Gauss–Helmert model (GHM), for more than a century. In this contribution, an adjustment of the EIV model with equality and inequality constraints is investigated based on the nonlinear GHM. In each iteration, the constrained EIV model is linearized to form a quadratic program. Furthermore, the precision description is investigated for the mixed constrained problem. The demonstrated results from the numerical examples show that this approach avoids the large computational expenses of the existing combinatorial solution that normally accompany the number of inequality constraints.
On the errors-in-variables model with equality and inequality constraints for selected numerical examples
Fang, Xing (Autor:in) / Wu, Yun (Autor:in)
2015
Aufsatz (Zeitschrift)
Englisch
On partial errors-in-variables models with inequality constraints of parameters and variables
| Online Contents | 2014
On partial errors-in-variables models with inequality constraints of parameters and variables
| Online Contents | 2014
| British Library Conference Proceedings | 2002
Cases of Equality for Refinements of Bernstein's Inequality
| British Library Online Contents | 2006
The Crisis of Inequality and the Crisis of Equality
| Taylor & Francis Verlag | 2022