Scholarlink

<p>We introduce the fractional absolute value equation (FAVE), which is an absolute value equation containing fractional terms of the unknown variables. For simplicity, we first consider a simple 1-dimensional FAVE and then generalize the results to problems of arbitrary dimension <i>n</i>. In this context, we investigate the relationship between the FAVE and the weighted generalization of the horizontal linear complementarity problem. Moreover, we provide conditions that ensure the solvability of the FAVE by characterizing the number and the sign pattern of the solutions in several situations.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Fractional absolute value equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月24日

查看全文
  • Francesco Mezzadri

摘要

We introduce the fractional absolute value equation (FAVE), which is an absolute value equation containing fractional terms of the unknown variables. For simplicity, we first consider a simple 1-dimensional FAVE and then generalize the results to problems of arbitrary dimension n. In this context, we investigate the relationship between the FAVE and the weighted generalization of the horizontal linear complementarity problem. Moreover, we provide conditions that ensure the solvability of the FAVE by characterizing the number and the sign pattern of the solutions in several situations.