Abstract: This article investigates the problem of Simultaneous Localization and Mapping (SLAM) from the perspective of linear estimation theory. The problem is first formulated in terms of graph ...

Abstract: To approximate functions of a single variable by using linear interpolation is routine in empirical studies. Here, we consider approximating functions of several variables in a similar ...

We describe an algorithm, based on the simplex method of linear programming, for solving the discrete l 1 approximation problem with any type of linear constraints. The numerical results reported here ...

A program written in C++ for constructing the best approximation of a function through basis functions of finite elements. There is work with the matrix, which is stored in tape form. And four methods ...

This paper gives explicit rational functions for interpolating and approximating functions on the intervals $\lbrack-1, 1\rbrack, \lbrack0, \infty\rbrack$, and $\lbrack-\infty, \infty\rbrack$. The ...

We discuss structure-preserving model order reduction for port-Hamiltonian systems based on a nonlinear approximation ansatz which is linear with respect to a part of the state variables of the ...

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