H-矩阵的新的判定条件(英文)

The New Criteria for H-Matrices

研究了在生物学、经济学、计算数学等许多学科中都有重要应用的非奇异H-矩阵的判断问题,在H-矩阵的一类子矩阵α1-严格对角占优矩阵下,借助其中的重要定理α1-严格对角占优定理,并利用构造性证明法得到了广义严格对角占优矩阵(非奇异H-矩阵)新的简洁实用的判据,同时数值算例也表明此方法的有效性.

Research in biology, economics, mathematics and many other disciplines have an important application of nonsingular H - matrix judgment problem, in the H - matrix a subclass of matrix a1 - strictly diagonally dominant matrix, with one of the important theorem a1 - strictly diagonally dominant theorem by using the construction certificate is obtained by the method of generalized strictly diagonally dominant matrix （nonsingular H- matrix）new concise and practical criterion.