Mathematical Sciences: Topics in Matrix Analysis and Application

约翰逊教授将继续他对矩阵分析的一系列子领域的研究。这些问题包括矩阵分析中的组合问题，顶上永久猜想和相关的不等式，矩阵、非负矩阵和M-矩阵的Hadamard积，以及矩阵分析中的其他主题。这项研究涵盖了非常广泛的主题，从矩阵理论(线性代数)。约翰逊博士以前在所有这些领域都取得了显著的成功，毫无疑问，他将继续为这一主题做出多产的贡献。他在学生和同龄人中都很有影响力。他与来自世界各地的合著者共同撰写了许多论文。他还和他的学生一起学习。这项建议中的工作在当今使用线性代数的广泛数学领域中也有许多应用。

Professor Johnson will continue his research into a selection of subfields of matrix analysis. These include combinatorial issues in matrix analysis, the permanent-on-top conjecture and related inequalities, Hadamard products of matrices, nonnegative and M-matrices and other topics in matrix analysis. This research covers a very broad range of topics from the theory of matrices (linear algebra). Dr. Johnson has had remarkable success in all of these areas before, and will undoubtedly continue his prolific contributions to the subject. He is very influential with both students and peers. He generates many joint papers with co-authors from around the world. He also has joint work with his students. The work in this proposal also has many applications in the broad range of mathematics which today uses linear algebra.