A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-m...A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm.展开更多
Bayes统计学能够从空中楼阁的理论广泛地落地于自然科学、经济学和社会学等领域,得益于计算机技术和马尔可夫链蒙特卡洛(Markov chain Monte Carlo,简称MCMC)法的发展。文章介绍了MCMC方法在Bayes推断中的应用,主要讨论了MCMC方法中的...Bayes统计学能够从空中楼阁的理论广泛地落地于自然科学、经济学和社会学等领域,得益于计算机技术和马尔可夫链蒙特卡洛(Markov chain Monte Carlo,简称MCMC)法的发展。文章介绍了MCMC方法在Bayes推断中的应用,主要讨论了MCMC方法中的独立抽样和随机游走抽样的Metropolis-Hastings(M-H)算法,利用可读性较强的Matlab程序来实现两种抽样算法,并给出了详细的程序实施过程,分析了两种抽样的优缺点。模拟分析结果表明:独立抽样M-H算法比较容易实施,但是要求建议分布和后验分布的吻合度较高,否则计算效率低下,而且模拟效果不理想;随机游走抽样的M-H算法不需要建议分布接近后验分布,模拟效果也比较好,因此,克服了独立抽样算法的不足,适用范围更广。展开更多
Aqueous E pH Diagram is an essential tool for analyzing hydrometallurgical and corrosion processes. Due to the requirements for environmental protection and energy saving in recent years, waste water processing a...Aqueous E pH Diagram is an essential tool for analyzing hydrometallurgical and corrosion processes. Due to the requirements for environmental protection and energy saving in recent years, waste water processing and hydrometallurgical process of concentrate have been greatly developed. The construction of E pH diagrams has turned to multi component systems. However, there are some limits in plotting such diagrams. There is only one diagram for one multi component system, which can not reflect the truth of the aqueous reaction. In the paper, a new computation method is proposed to construct E pH diagrams. Component activity term is used to determine the boundary of stable areas. For the multi component systems, different atom ratios of elements have been taken into account. M S H 2O system is chosen to study since it is of importance in metallurgical solution. Compared with conventional methods, the algorithm is simple and conforms to real conditions.展开更多
基金Foundation item: This work is supported by the Science Foundations of the Education Department of Yunnan Province (03Z169A)the Science Foundatons of Yunnan University (2003Z013B).
文摘A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm.
文摘Bayes统计学能够从空中楼阁的理论广泛地落地于自然科学、经济学和社会学等领域,得益于计算机技术和马尔可夫链蒙特卡洛(Markov chain Monte Carlo,简称MCMC)法的发展。文章介绍了MCMC方法在Bayes推断中的应用,主要讨论了MCMC方法中的独立抽样和随机游走抽样的Metropolis-Hastings(M-H)算法,利用可读性较强的Matlab程序来实现两种抽样算法,并给出了详细的程序实施过程,分析了两种抽样的优缺点。模拟分析结果表明:独立抽样M-H算法比较容易实施,但是要求建议分布和后验分布的吻合度较高,否则计算效率低下,而且模拟效果不理想;随机游走抽样的M-H算法不需要建议分布接近后验分布,模拟效果也比较好,因此,克服了独立抽样算法的不足,适用范围更广。
文摘Aqueous E pH Diagram is an essential tool for analyzing hydrometallurgical and corrosion processes. Due to the requirements for environmental protection and energy saving in recent years, waste water processing and hydrometallurgical process of concentrate have been greatly developed. The construction of E pH diagrams has turned to multi component systems. However, there are some limits in plotting such diagrams. There is only one diagram for one multi component system, which can not reflect the truth of the aqueous reaction. In the paper, a new computation method is proposed to construct E pH diagrams. Component activity term is used to determine the boundary of stable areas. For the multi component systems, different atom ratios of elements have been taken into account. M S H 2O system is chosen to study since it is of importance in metallurgical solution. Compared with conventional methods, the algorithm is simple and conforms to real conditions.
