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- Sebastian F. Walter, Lutz Lehmann
- J. Comput. Science
- 2013

Many programs for scienti c computing in Python are based on NumPy and therefore make heavy use of numerical linear algebra (NLA) functions, vectorized operations, slicing and broadcasting. AlgoPy provides the means to compute derivatives of arbitrary order and Taylor approximations of such programs. The approach is based on a combination of univariate… (More)

- Sebastian F. Walter, Lutz Lehmann, René Lamour
- Optimization Methods and Software
- 2012

- Tilman Barz, Diana C. López C., Mariano Nicolás Cruz Bournazou, Stefan Körkel, Sebastian F. Walter
- Computers & Chemical Engineering
- 2016

- Sebastian F. Walter, Jan-Hendrik Olbertz, Elmar Kulke, Hans Georg Bock, Richard D. Neidinger
- 2012

This thesis provides a framework for the evaluation of first and higher-order derivatives and Taylor series expansions through large computer programs that contain numerical linear algebra (NLA) functions. It is a generalization of traditional algorithmic differentiation (AD) techniques in that NLA functions are regarded as black boxes where the inputs and… (More)

- Sebastian F. Walter
- HPSC
- 2009

- Sebastian F. Walter
- ArXiv
- 2009

This paper is concerned with the efficient evaluation of higher-order derivatives of functions $f$ that are composed of matrix operations. I.e., we want to compute the $D$-th derivative tensor $\nabla^D f(X) \in \mathbb R^{N^D}$, where $f:\mathbb R^{N} \to \mathbb R$ is given as an algorithm that consists of many matrix operations. We propose a method that… (More)

- Sebastian F. Walter, Lutz Lehmann
- ArXiv
- 2010

We derive algorithms for higher order derivative computation of the rectangular QR and eigenvalue decomposition of symmetric matrices with distinct eigenvalues in the forward and reverse mode of algorithmic differentiation (AD) using univariate Taylor propagation of matrices (UTPM). Linear algebra functions are regarded as elementary functions and not as… (More)

We present a novel derivative-based parameter identification method to improve the precision at the tool center point of an industrial manipulator. The tool center point is directly considered in the optimization as part of the problem formulation as a key performance indicator. Additionally, our proposed method takes collision avoidance as special… (More)

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