Recursion Brings Speedup to Out-of-Core TensorCore-based Linear Algebra Algorithms: A Case Study of Classic Gram-Schmidt QR Factorization

2021 ◽  
Author(s):  
Shaoshuai Zhang ◽  
Panruo Wu
Author(s):  
Birgit Pepin ◽  
Zeger-jan Kock

AbstractIn this study we use a case study approach to investigate what kinds of resources were self-reported to have been selected by students working on their Challenge-Based bachelor end projects, and how they used and orchestrated these resources. In a previous study, we had explored students’ use of resources and their Actual Student Study Paths in Calculus and Linear Algebra courses (Pepin and Kock 2019); in this study we turned to students working on their Challenge-Based bachelor end projects. Results show that the students working on Challenge-Based projects used resources outside the realm of curriculum resources offered to them in traditional courses, and the Actual Student Study Paths were iterative. We contend that ‘linear’ study paths (found e.g. in traditionally taught Linear Algebra courses) appeared to have been beneficial for students for studying particular mathematical content, which they needed for solving open challenges. In the Challenge-Based projects, the crucial resource emerged to be the tutor. We claim that this has implications for the introduction of a more Challenge-Based curriculum, where such projects would be the norm, both in terms of the professionalization of university teachers (who coach students through such projects), and for the education of students who opt for such projects: teachers have to be supported to develop as appropriate coaches in such complex environments; students have to become self-directed learners, and need to be supported with challenged-based trained coaches and teachers, in addition to be provided with suitable curricular, technological, and social resources.


IEEE Micro ◽  
2017 ◽  
Vol 37 (3) ◽  
pp. 30-38 ◽  
Author(s):  
Yipeng Huang ◽  
Ning Guo ◽  
Mingoo Seok ◽  
Yannis Tsividis ◽  
Simha Sethumadhavan

Author(s):  
Ucu Koswara ◽  
Neneng Tita Rosita

Video on learning of mathematics is one of the audio-visual media-based learning which is currently not widely used, because in addition need quite a long time, and also need requires special mastery in the field of computers and learning software. The background of this research focused on the importance of strengthening the ability of students to the course material which is conducted independently after the learning process in the classroom implemented. This study aims to assess and analyze the results of learning mathematics in linear algebra course in STKIP Sebelas April Sumedang. This research method using pre-experimental design with type One-Shot Case Study of the entire fourth semester students of the majoring in mathematics education in STKIP Sebelas April Sumedang that consisting of two groups taken purposively. The data was analyzed by two different test average (t test) of the two groups that received different treatment. These results indicate that there are significant differences in learning outcomes between the groups were given a course with additional self learning video by using Camstudio Software and Pen Tablet on Linear Algebra Class and the group given regular course


2015 ◽  
Vol 85 ◽  
pp. 32-46 ◽  
Author(s):  
Mathieu Faverge ◽  
Julien Herrmann ◽  
Julien Langou ◽  
Bradley Lowery ◽  
Yves Robert ◽  
...  

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