U.S.-Czechoslovakia Research on Analysis of Interactive Methods for Linear Operators (Mathematics)

美捷克斯洛伐克线性算子交互方法分析研究（数学）

• 批准号: 8918502
• 负责人: Daniel Szyld
• 金额: --
• 依托单位: Duke University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-05-01 至 1990-09-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8918502&HistoricalAwards=false
• 关键词: U.S.; Czechoslovakia; Research; Analysis; Interactive

The primary objective of this U.S.-Czechoslovakia cooperative research project between Dr. Daniel Szyld of Duke University and Dr. Ivo Marek of Charles University is to analyze the mathematical properties of pseudo-irreducible operators and pseudo-primitive operators and to study their relevance to solutions for singular linear systems. In particular, methods for computation of stationary distributions of Markov processes will be examined. The researchers hope that their collaborative study of properties of pseudo-primitive and pseudo-irreducible operators will yield proof of a theorem similar to "THEOREM A. An operator is convergent and irreducible if and only if it is primitive." This project in applied mathematics fulfills the program objective of advancing scientific knowledge by enabling leading experts in the United States and Eastern Europe to combine complementary talents and pool research resources in areas of strong mutual interest and competence.

美国的主要目标是-捷克斯洛伐克合作社 杜克大学的丹尼尔·西德博士和 查尔斯大学的伊沃·马雷克博士将分析 伪不可约算子和伪本原算子的性质 算子，并研究其相关性的解决方案，奇异 线性系统 特别地，用于计算稳态的方法 马尔可夫过程的分布将被检查。 研究人员 希望他们合作研究伪原语的性质 和伪不可约算子将产生定理的证明 类似于“定理A”。 算子是收敛的和不可约的 当且仅当它是原始的。" 这个应用数学项目实现了计划目标 推动科学知识的发展， 美国和东欧联合收割机互补 人才和集中研究资源的领域，强相互 兴趣和能力。