Abstract
The Golden ratio is one of the most beloved numbers in human society. It is a symobol of combination of beauty and practical use. We consider the Golden ratio through four models —(i) optimization, (ii) inequality, (iii) identity and (iv) opertator —. We introduce the Golden matrices whose characteristic values are the Golden number and its conjugate. We show that the Golden matrices take an important role in the four models. Further the role is essentially equivalent.
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Iwamoto, S. (2007). Golden Quadruplet: Optimization - Inequality - Identity - Operator. In: Torra, V., Narukawa, Y., Yoshida, Y. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2007. Lecture Notes in Computer Science(), vol 4617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73729-2_2
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DOI: https://doi.org/10.1007/978-3-540-73729-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73728-5
Online ISBN: 978-3-540-73729-2
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