Solving the 3 × 3 Real Symmetric Eigenproblem

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1806-06698.pdf (353.89 KB)
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Borges, Carlos F.
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2018-06-19
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ArXiv
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We develop an algorithm solving the 3×3 real symmetric eigenproblem. This is a common problem and in certain applications it must be solved many thousands of times, see for example [3] where each element in a finite element grid generates one. Because of this it is useful to have a tailored method that is easily coded and compact. Furthermore, the method described is fully compatible with development as a GPU based code that would allow the simultaneous solution of a large number of these small eigenproblems.
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Preprint
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https://hdl.handle.net/10945/65607
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Applied Mathematics (MA)
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11 p.
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Borges, Carlos F. "Solving the 3x3 Real Symmetric Eigenproblem." arXiv preprint arXiv:1806.06698 (2018).
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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