這是一個有關錐體正變換、非負矩陣及圖譜的三年期研究計畫。我們將研究以下及相關的題目: 題目一:錐體正變換的譜理論。 題目二:錐體可解性定理及其應用。 題目三:錐體正變換的本原指數。 題目四:非負矩陣及最終非負矩陣。 題目五:圖譜理論。
This is a three-year research project on cone-preserving maps, nonnegative matrices and graph spectra. We will treat the following and related topics: Topic 1. Spectral theory of cone-preserving maps. Topic 2. Cone solvability theorems and their applications. Topic 3. Exponents of K-primitive matrices. Topic 4. Nonnegative matrices and eventually nonnegative matrices. Topic 5. Graph spectra.