CAJ | 학술논문

K层Nekrasov矩阵的推广矩阵中，K层弱Nekrasov矩阵与广义严格对角占优矩阵存在迭代矩阵和不等式估计等性质，本文针对这几类矩阵与广义严格对角占优矩阵之间的置换关系进行了定义和证明，并根据广义Nekrasov矩阵与弱Nekrasov矩阵的置换不变性，推论出非奇异矩阵的充要条件，将广义K层Nekrasov矩阵和K层弱Nekrasov矩阵的对角阵的奇异性进行了充要性的推论和证明。进而通过构造特殊矩阵和特殊向量改进了广义Nekrasov矩阵研究中的不足。
K층Nekrasov구진적추엄구진중，K층약Nekrasov구진여엄의엄격대각점우구진존재질대구진화불등식고계등성질，본문침대저궤류구진여엄의엄격대각점우구진지간적치환관계진행료정의화증명，병근거엄의Nekrasov구진여약Nekrasov구진적치환불변성，추론출비기이구진적충요조건，장엄의K층Nekrasov구진화K층약Nekrasov구진적대각진적기이성진행료충요성적추론화증명。진이통과구조특수구진화특수향량개진료엄의Nekrasov구진연구중적불족。
Promotion matrix of the the K layer Nekrasov matrix, the K layer weak Nekrasov matrix and generalized strictly diagonally dominant matrix exists iterative matrix and inequality estimates nature, for these types of matrices and generalized strictly diagonally dominant matrices replacement relations carried out to define and prove, and invariance under the generalized of Nekrasov matrices with weak Nekrasov matrix replacement, to infer the necessary and sufficient conditions for non-singular matrix, the generalized K layer Nekrasov matrix K layer weak Nekrasov matrix diagonal matrix singularitythe sufficient and necessary inference and proof. Further improved by constructing a special matrix and special vector inadequate study generalized Nekrasov matrix.