Multiplication of closed balls in $\mathbb{C}^n$

IF 0.8 4区 数学 Q2 MATHEMATICS
PATRÍCIA DAMAS BEITES, ALEJANDRO PIÑERA NICOLÁS, JOSÉ DA SILVA LOURENÇO VITÓRIA
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引用次数: 0

Abstract

Motivated by circular complex interval arithmetic, some operations on closed balls in $\mathbb{C}^n$ are considered. Essentially, the properties of possible multiplications for closed balls in $\mathbb{C}^n$, related either to the Hadamard product of vectors or to the $2$-fold vector cross product when $n \in \{3, 7\}$, are studied. In addition, certain equations involving the defined multiplications are solved.
$\mathbb{C}^n$中封闭球的乘法
基于循环复区间算法,考虑了$\mathbb{C}^n$中闭球的若干运算。本质上,研究了$\mathbb{C}^n$中闭球的可能乘法的性质,这些性质与向量的Hadamard积有关,与$n \in \{3,7 \}$时的$2$-fold向量叉积有关。此外,还求解了涉及定义乘法的某些方程。
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来源期刊
CiteScore
1.80
自引率
10.00%
发文量
161
审稿时长
6-12 weeks
期刊介绍: The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.
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