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

杜克大学的Daniel Szyld博士和查尔斯大学的Ivo Marek博士的美国-捷克斯洛伐克合作研究项目的主要目标是分析伪不可约算子和伪原始算子的数学性质，并研究它们与奇异线性系统解的相关性。特别地，计算马尔可夫过程的平稳分布的方法将被检查。研究人员希望他们对伪本原算子和伪不可约算子性质的合作研究能够证明一个类似于“定理a”的定理。一个算子是收敛且不可约的当且仅当它是本原的。该应用数学项目通过使美国和东欧的顶尖专家在共同感兴趣和能力强的领域结合互补的人才和集中研究资源，实现了推进科学知识的计划目标。

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.