Scholarlink

<p>This study generalizes the concepts of right and left weak core (WC-) inverses, along with their duals, to quaternion matrices. Within the framework of noncommutative row-column determinant theory, explicit determinantal representations for these generalized inverses are established. These results are subsequently applied to solve two-sided and one-sided quaternion matrix equations, yielding unique solutions characterized by Cramer-type rules. These restricted quaternion matrix equations have potential applications in image and signal processing. Finally, a numerical example illustrates the efficacy and practical utility of the proposed methodology.</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

DWC-WC-solutions to restricted two-sided quaternion matrix equations

  • 期刊论文

  • 发表日期：

    2026年4月28日

查看全文
  • Ivan I. Kyrchei,
  • Dijana Mosić,
  • Predrag S. Stanimirović

摘要

This study generalizes the concepts of right and left weak core (WC-) inverses, along with their duals, to quaternion matrices. Within the framework of noncommutative row-column determinant theory, explicit determinantal representations for these generalized inverses are established. These results are subsequently applied to solve two-sided and one-sided quaternion matrix equations, yielding unique solutions characterized by Cramer-type rules. These restricted quaternion matrix equations have potential applications in image and signal processing. Finally, a numerical example illustrates the efficacy and practical utility of the proposed methodology.