Gaalop swMATH ID: 313 Software Authors: Hildenbrand, Dietmar; Pitt, Joachim; Koch, Andreas Description: Gaalop – high performance parallel computing based on conformal geometric algebra. We present Gaalop (Geometric algebra algorithms optimizer), our tool for high-performance computing based on conformal geometric algebra. The main goal of Gaalop is to realize implementations that are most likely faster than conventional solutions. In order to achieve this goal, our focus is on parallel target platforms like FPGA (field-programmable gate arrays) or the CUDA technology from NVIDIA. We describe the concepts, current status, and future perspectives of Gaalop dealing with optimized software implementations, hardware implementations, and mixed solutions. An inverse kinematics algorithm of a humanoid robot is described as an example. Homepage: http://www.gaalop.de/ Keywords: geometric algebra algorithms optimizer Related Software: Gaigen; CLUCalc; GMac; CLIFFORD; GABLE; CLU; Versor; Gaalet; Clifford Multivector Toolbox; GluCat; OpenGL; GitHub; OpenCLLink; Cliffosor; GAviewer; CUDA; GAALOPWeb; Gajit; TbGAL; ganja.js Cited in: 27 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Gaalop – high performance parallel computing based on conformal geometric algebra. Zbl 1214.68434Hildenbrand, Dietmar; Pitt, Joachim; Koch, Andreas 2010 all top 5 Cited by 56 Authors 13 Hildenbrand, Dietmar 4 Steinmetz, Christian 3 Benger, Werner 3 Franchini, Silvia 3 Gentile, Antonio 3 Vassallo, Giorgio 3 Vitabile, Salvatore 2 Charrier, Patrick 2 Hitzer, Eckhard 2 Sorbello, Filippo 1 Altamirano-Gómez, Gerardo 1 Bayro-Corrochano, Eduardo 1 Breuils, Stéphane 1 Dobler, Wolfgang 1 Egeland, Olav 1 Eid, Ahmad Hosny 1 Fernandes, Leandro Augusto Frata 1 Fuchs, Laurent 1 Guan, Yong 1 Heinzl, René 1 Hovland, Geir 1 Hrdina, Jaroslav 1 Klimek, Mariusz 1 Koch, Andreas 1 Li, Liming 1 Li, Yongdong 1 Lopez Belon, Mauricio Cele 1 López-González, Gehová 1 Lü, Guonian 1 Luo, Wen 1 Ma, Sha 1 Návrat, Aleš 1 Orouji, Niloofar 1 Papaefthymiou, Margarita 1 Papagiannakis, George 1 Pitt, Joachim 1 Sadr, Ali 1 Sangwine, Stephen J. 1 Shao, Zhenzhou 1 Shi, Zhiping 1 Sousa, Eduardo Vera 1 Tachibana, Kanta 1 Theisel, Holger 1 Théry, Laurent 1 Tichý, Radek 1 Tingelstad, Lars 1 Tørdal, Sondre Sanden 1 Tschumperlé, David 1 Tyapin, Ilya 1 Uftring, Patrick 1 Vašík, Petr 1 Weinkauf, Tino 1 Yi, Lin 1 Yu, Zhaoyuan 1 Yuan, Linwang 1 Zhaoyuan, Yu Cited in 3 Serials 22 Advances in Applied Clifford Algebras 1 Mathematical Methods in the Applied Sciences 1 Geometry and Computing all top 5 Cited in 10 Fields 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Computer science (68-XX) 7 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 3 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year