Mathematical geosciences

JL Awange, B Paláncz, RH Lewis… - Cham, Switzerland …, 2018 - Springer
Basically, a numeric (or numerical) method is one that could be done with a simple hand-
held calculator, using basic arithmetic, square roots, some trigonometry functions, and a few …

Geospatial algebraic computations

JL Awange, B Paláncz - Theory and applications, 3rd edn. Springer, Berlin, 2016 - Springer
A potential answer to modern challenges faced by geospatialists such as geodesists and
geoinformatists (see, eg, Sect. 1.3), lies in the application of algebraic and numeric …

Continuous variable neighborhood search (C-VNS) for solving systems of nonlinear equations

J Pei, Z Dražić, M Dražić… - INFORMS Journal …, 2019 - pubsonline.informs.org
In this paper, we propose the continuous variable neighborhood search method for finding
all the solutions to a nonlinear system of equations (NSEs). We transform the NSE problem …

A novel geometric method based on conformal geometric algebra applied to the resection problem in two and three dimensions

J Ventura, F Martinez, F Manzano-Agugliaro… - Journal of …, 2024 - Springer
This paper introduces a novel method for solving the resection problem in two and three
dimensions based on conformal geometric algebra (CGA). Advantage is taken because of …

Survey of methods for solving systems of nonlinear equations, part II: Optimization based approaches

IS Kotsireas, PM Pardalos, A Semenov… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper presents a comprehensive survey of methods which can be utilized to search for
solutions to systems of nonlinear equations (SNEs). Our objectives with this survey are to …

Survey of Methods for Solving Systems of Nonlinear Equations, Part I: Root-finding Approaches

IS Kotsireas, PM Pardalos, A Semenov… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper presents a comprehensive survey of methods which can be utilized to search for
solutions to systems of nonlinear equations (SNEs). Our objectives with this survey are to …

[HTML][HTML] 基于Moore-Penrose 广义逆及立体矩阵的可分离非线性最小二乘解算方法

王珂, 刘国林, 付政庆, 王路遥 - 2022 - xb.chinasmp.com
针对测绘领域中函数模型为非线性函数的线性组合的特殊结构, 本文提出了基于Moore-Penrose
广义逆和立体矩阵的可分离非线性最小二乘解算方法. 该方法首先利用变量投影算法消除可分离 …

Nondimensionalized univariate equation characterizing optimal state feedback control for collision avoidance

ASP Singh, O Nishihara - IEEE Transactions on Intelligent …, 2018 - ieeexplore.ieee.org
In this paper, integration of steering and braking are studied for collision avoidance from the
standpoint of optimal control theory. First, the collision avoidance by braking, steering, and …

Dixon-EDF: the premier method for solution of parametric polynomial systems

RH Lewis - Applications of Computer Algebra: Kalamata, Greece …, 2017 - Springer
Using examples of interest from real problems, we will discuss the Dixon-EDF resultant as a
method of solving parametric polynomial systems. We will briefly describe the method itself …

Application of a novel elimination algorithm with developed continuation method for nonlinear forward kinematics solution of modular hybrid manipulators

A Rahmani, S Faroughi - Robotica, 2020 - cambridge.org
This paper addresses the application of a novel elimination algorithm with a newly
developed homotopy continuation method (HCM) for forward kinematics of a specific hybrid …