吉首大学学报(自然科学版) ›› 2026, Vol. 47 ›› Issue (1): 6-12.DOI: 10.13438/j.cnki.jdzk.2026.01.002

• 数学 • 上一篇    下一篇

CKV-Type矩阵和CKV-Type-B矩阵的扩展垂直线性互补问题解的误差估计

蒋建新   

  1. (文山学院人工智能学院,云南 文山 663099)
  • 出版日期:2026-01-25 发布日期:2026-01-30
  • 作者简介:蒋建新(1981—),男,甘肃天水人,文山学院人工智能学院副教授,硕士,主要从事矩阵理论及其应用研究.
  • 基金资助:
    云南省教育厅科学研究项目(2024J1047);2024年文山学院重点科研项目

Error Estimation of the Extended Vertical Linear Complementarity Problems of CKV-Type Matrix and CKV-Type-B Matrix

JIANG Jianxin   

  1. (School of Artificial Intelligence,Wenshan University,Wenshan 663099,Yunnan China)
  • Online:2026-01-25 Published:2026-01-30

摘要:围绕CKV-type矩阵和CKV-type-B矩阵,研究了扩展垂直线性互补问题解的误差界.以“块矩阵任意子块满足2类矩阵定义”为前提,证明了对原块矩阵进行行重排后,得到的新矩阵中每一子块仍保持与原矩阵子块相同的类型,且重排后的矩阵具有行W-性质.在此基础上,推导出2类矩阵对应问题解的误差界表达式.

关键词: CKV-type矩阵, CKV-type-B矩阵, 扩展垂直线性互补问题

Abstract: The error bounds of the solutions to the extended vertical linear complementarity problem are studied for the CKV-type matrix and the CKV-type-B matrix.Under the premise that "any sub-block of the block matrix satisfies the definition of the two types of matrices",it is proved that after row rearrangement of the original block matrix,each sub-block of the new matrix still maintains the same type as the original matrix sub-block,and the rearranged matrix has the row W-property.On this basis,the error bound expressions of the solutions to the problems corresponding to the two types of matrices are derived.

Key words: CKV-type matrix, CKV-type-B matrix, extended vertical linear complementarity problem

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