Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard New applications of Clifford’s geometric algebra. (English) Zbl 1490.15036 Adv. Appl. Clifford Algebr. 32, No. 2, Paper No. 17, 39 p. (2022). Reviewer: Morteza Shahpari (Adelaide) MSC: 15A67 15A66 68T01 68U05 11E88 70E60 94A12 PDFBibTeX XMLCite \textit{S. Breuils} et al., Adv. Appl. Clifford Algebr. 32, No. 2, Paper No. 17, 39 p. (2022; Zbl 1490.15036) Full Text: DOI
Alves, R.; Hildenbrand, D.; Steinmetz, C.; Uftring, P. Efficient development of competitive Mathematica solutions based on geometric algebra with GAALOPWeb. (English) Zbl 1457.68321 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 59, 18 p. (2020). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 68W30 15A66 51K99 51N20 68U05 PDFBibTeX XMLCite \textit{R. Alves} et al., Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 59, 18 p. (2020; Zbl 1457.68321) Full Text: DOI
Hildenbrand, Dietmar; Steinmetz, Christian; Tichý, Radek GAALOPWeb for Matlab: an easy to handle solution for industrial geometric algebra implementations. (English) Zbl 1460.68132 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 52, 18 p. (2020). MSC: 68W30 15-04 15A66 70-04 70B15 PDFBibTeX XMLCite \textit{D. Hildenbrand} et al., Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 52, 18 p. (2020; Zbl 1460.68132) Full Text: DOI
Sousa, Eduardo Vera; Fernandes, Leandro A. F. TbGAL: a tensor-based library for geometric algebra. (English) Zbl 1433.15004 Adv. Appl. Clifford Algebr. 30, No. 2, Paper No. 27, 33 p. (2020). MSC: 15-04 15A66 68W30 PDFBibTeX XMLCite \textit{E. V. Sousa} and \textit{L. A. F. Fernandes}, Adv. Appl. Clifford Algebr. 30, No. 2, Paper No. 27, 33 p. (2020; Zbl 1433.15004) Full Text: DOI
Hildenbrand, Dietmar Introduction to geometric algebra computing. (English) Zbl 1397.00009 Boca Raton, FL: CRC Press (ISBN 978-1-4987-4838-4/hbk; 978-0-367-57132-0/pbk). xviii, 193 p. (2019). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 00A05 51-01 15A66 15A75 68U05 51M15 97Gxx 97N80 PDFBibTeX XMLCite \textit{D. Hildenbrand}, Introduction to geometric algebra computing. Boca Raton, FL: CRC Press (2019; Zbl 1397.00009)
Eid, Ahmad Hosny An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature. (English) Zbl 1390.68776 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 16, 32 p. (2018). MSC: 68W30 15A66 PDFBibTeX XMLCite \textit{A. H. Eid}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 16, 32 p. (2018; Zbl 1390.68776) Full Text: DOI
Hildenbrand, Dietmar; Franchini, Silvia; Gentile, Antonio; Vassallo, Giorgio; Vitabile, Salvatore GAPPCO: an easy to configure geometric algebra coprocessor based on GAPP programs. (English) Zbl 1415.68267 Adv. Appl. Clifford Algebr. 27, No. 3, 2115-2132 (2017). MSC: 68W30 15A66 PDFBibTeX XMLCite \textit{D. Hildenbrand} et al., Adv. Appl. Clifford Algebr. 27, No. 3, 2115--2132 (2017; Zbl 1415.68267) Full Text: DOI Link
Tørdal, Sondre Sanden; Hovland, Geir; Tyapin, Ilya Efficient implementation of inverse kinematics on a 6-DOF industrial robot using conformal geometric algebra. (English) Zbl 1410.70007 Adv. Appl. Clifford Algebr. 27, No. 3, 2067-2082 (2017). MSC: 70B15 15A66 70E60 PDFBibTeX XMLCite \textit{S. S. Tørdal} et al., Adv. Appl. Clifford Algebr. 27, No. 3, 2067--2082 (2017; Zbl 1410.70007) Full Text: DOI
Lopez Belon, Mauricio Cele; Hildenbrand, Dietmar Practical geometric modeling using geometric algebra motors. (English) Zbl 1425.68435 Adv. Appl. Clifford Algebr. 27, No. 3, 2019-2033 (2017). MSC: 68U05 15A66 65D18 PDFBibTeX XMLCite \textit{M. C. Lopez Belon} and \textit{D. Hildenbrand}, Adv. Appl. Clifford Algebr. 27, No. 3, 2019--2033 (2017; Zbl 1425.68435) Full Text: DOI
Tingelstad, Lars; Egeland, Olav Automatic multivector differentiation and optimization. (English) Zbl 1367.65034 Adv. Appl. Clifford Algebr. 27, No. 1, 707-731 (2017). MSC: 65D25 65K05 15A66 90C30 70E15 PDFBibTeX XMLCite \textit{L. Tingelstad} and \textit{O. Egeland}, Adv. Appl. Clifford Algebr. 27, No. 1, 707--731 (2017; Zbl 1367.65034) Full Text: DOI
Hildenbrand, D.; Albert, J.; Charrier, P.; Steinmetz, Chr. Geometric algebra computing for heterogeneous systems. (English) Zbl 1367.65030 Adv. Appl. Clifford Algebr. 27, No. 1, 599-620 (2017). MSC: 65D18 15A66 65Y20 65Y04 PDFBibTeX XMLCite \textit{D. Hildenbrand} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 599--620 (2017; Zbl 1367.65030) Full Text: DOI
Franchini, Silvia; Gentile, Antonio; Sorbello, Filippo; Vassallo, Giorgio; Vitabile, Salvatore Embedded coprocessors for native execution of geometric algebra operations. (English) Zbl 1367.15034 Adv. Appl. Clifford Algebr. 27, No. 1, 559-580 (2017). MSC: 15A66 68U05 68W30 PDFBibTeX XMLCite \textit{S. Franchini} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 559--580 (2017; Zbl 1367.15034) Full Text: DOI
Sangwine, Stephen J.; Hitzer, Eckhard Clifford multivector toolbox (for MATLAB). (English) Zbl 1407.68566 Adv. Appl. Clifford Algebr. 27, No. 1, 539-558 (2017). MSC: 68W30 11E88 15A66 PDFBibTeX XMLCite \textit{S. J. Sangwine} and \textit{E. Hitzer}, Adv. Appl. Clifford Algebr. 27, No. 1, 539--558 (2017; Zbl 1407.68566) Full Text: DOI Link
Ma, Sha; Shi, Zhiping; Shao, Zhenzhou; Guan, Yong; Li, Liming; Li, Yongdong Higher-order logic formalization of conformal geometric algebra and its application in verifying a robotic manipulation algorithm. (English) Zbl 1367.65032 Adv. Appl. Clifford Algebr. 26, No. 4, 1305-1330 (2016). MSC: 65D18 15A66 70E60 PDFBibTeX XMLCite \textit{S. Ma} et al., Adv. Appl. Clifford Algebr. 26, No. 4, 1305--1330 (2016; Zbl 1367.65032) Full Text: DOI
Charrier, Patrick; Klimek, Mariusz; Steinmetz, Christian; Hildenbrand, Dietmar Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica’s OpenCLLink. (English) Zbl 1299.15001 Adv. Appl. Clifford Algebr. 24, No. 2, 613-630 (2014). MSC: 15-04 PDFBibTeX XMLCite \textit{P. Charrier} et al., Adv. Appl. Clifford Algebr. 24, No. 2, 613--630 (2014; Zbl 1299.15001) Full Text: DOI
Fuchs, Laurent; Théry, Laurent Implementing geometric algebra products with binary trees. (English) Zbl 1311.68147 Adv. Appl. Clifford Algebr. 24, No. 2, 589-611 (2014). MSC: 68T15 11E88 15A66 PDFBibTeX XMLCite \textit{L. Fuchs} and \textit{L. Théry}, Adv. Appl. Clifford Algebr. 24, No. 2, 589--611 (2014; Zbl 1311.68147) Full Text: DOI
Yuan, Linwang; Yu, Zhaoyuan; Luo, Wen; Yi, Lin; Lü, Guonian Geometric algebra for multidimension-unified geographical information system. (English) Zbl 1286.68470 Adv. Appl. Clifford Algebr. 23, No. 2, 497-518 (2013). MSC: 68U05 15A66 PDFBibTeX XMLCite \textit{L. Yuan} et al., Adv. Appl. Clifford Algebr. 23, No. 2, 497--518 (2013; Zbl 1286.68470) Full Text: DOI
Hildenbrand, Dietmar Foundations of geometric algebra computing. (English) Zbl 1268.65038 Geometry and Computing 8. Berlin: Springer (ISBN 978-3-642-31793-4/hbk; 978-3-642-31794-1/ebook). xxvii, 196 p. (2013). Reviewer: Raffaella Pavani (Milano) MSC: 65Fxx 65-01 15A66 65Y15 PDFBibTeX XMLCite \textit{D. Hildenbrand}, Foundations of geometric algebra computing. Berlin: Springer (2013; Zbl 1268.65038) Full Text: DOI
Franchini, Silvia; Gentile, Antonio; Sorbello, Filippo; Vassallo, Giorgio; Vitabile, Salvatore Fixed-size quadruples for a new, hardware-oriented representation of the 4D Clifford algebra. (English) Zbl 1251.15028 Adv. Appl. Clifford Algebr. 21, No. 2, 315-340 (2011). MSC: 15A66 65D18 68U05 68W30 PDFBibTeX XMLCite \textit{S. Franchini} et al., Adv. Appl. Clifford Algebr. 21, No. 2, 315--340 (2011; Zbl 1251.15028) Full Text: DOI