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Dong Zhang Zhenwei Guo Gang Wang Tongsong Jiang 《Mathematical Methods in the Applied Sciences》2020,43(6):3513-3523
Due to the rise of commutative quaternion in Hopfield neural networks, digital signal, and image processing, one encounters the approximate solution problems of the commutative quaternion linear equations and . This paper, by means of real representation and complex representation of commutative quaternion matrices, introduces concepts of norms of commutative quaternion matrices and derives two algebraic techniques for finding solutions of least squares problems in commutative quaternionic theory. 相似文献
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Dominik Burek 《Mathematische Nachrichten》2020,293(4):638-650
Based on Cynk–Hulek method from [7] we construct complex Calabi–Yau varieties of arbitrary dimensions using elliptic curves with an automorphism of order 6. Also we give formulas for Hodge numbers of varieties obtained from that construction. We shall generalize the result of [11] to obtain arbitrarily dimensional Calabi–Yau manifolds which are Zariski in any characteristic . 相似文献
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Agnieszka Hejna 《Mathematische Nachrichten》2020,293(11):2112-2139