非奇异H-矩阵的判定

利用矩阵足码集的一个k-级划分,得出了非奇异H-矩阵的几个新的判定条件,改进和推广了一些相关结果,并用数值例子说明了结论的有效性.     

基于运行数据的加热器主导因素建模

实现对回热加热器的实时在线性能监测,关键在于要建立高精度的回热加热器模型.本文采用主导因素建模法,在回热加热器稳态模型基础上新增特性参数,以提高模型在非稳态工况的适用性.5000组工况验证结果显示,模型改进后输出应达值与实际测量值的平均偏差较稳态模型减小了0.21％,标准差在抽汽侧和给水侧较稳态模型分别减少了19.5％...     

Singular Sturmian separation theorems for nonoscillatory symplectic difference systems

ABSTRACT

In this paper, we derive new singular Sturmian separation theorems for nonoscillatory symplectic difference systems on unbounded intervals. The novelty of the presented theory resides in two aspects. We introduce the multiplicity of a focal point at infinity for conjoined bases, which we incorporate into our new singular Sturmian separation theorems. At the same time we do not impose any controllability assumption on the symplectic system. The presented results naturally extend and complete the known Sturmian separation theorems on bounded intervals by J. V. Elyseeva [Comparative index for solutions of symplectic difference systems, Differential Equations 45(3) (2009), pp. 445–459, translated from Differencial'nyje Uravnenija 45 (2009), no. 3, 431–444], as well as the singular Sturmian separation theorems for eventually controllable symplectic systems on unbounded intervals by O. Do?lý and J. Elyseeva [Singular comparison theorems for discrete symplectic systems, J. Difference Equ. Appl. 20(8) (2014), pp. 1268–1288]. Our approach is based on developing the theory of comparative index on unbounded intervals and on the recent theory of recessive and dominant solutions at infinity for possibly uncontrollable symplectic systems by the authors [P. ?epitka and R. ?imon Hilscher, Recessive solutions for nonoscillatory discrete symplectic systems, Linear Algebra Appl. 469 (2015), pp. 243–275; P. ?epitka and R. ?imon Hilscher, Dominant and recessive solutions at infinity and genera of conjoined bases for discrete symplectic systems, J. Difference Equ. Appl. 23(4) (2017), pp. 657–698]. Some of our results, including the notion of the multiplicity of a focal point at infinity, are new even for an eventually controllable symplectic difference system.     

天目山自然保护区常绿落叶阔叶林优势种群空间分布格局

基于浙江省天目山常绿阔叶林1 hm²样地调查数据,应用点格局方法分析了3种优势种细叶青冈(Cyclobalanopsis gracilis)、杉木(Cryptomeria fortunei)、短尾柯(Lithocarpus brevicaudatus)的空间分布格局,对比了优势种不同生长阶段(幼苗、幼树、中树、大树)的空间分布格局以及不同生长阶段之间的空间关联性.结果表明:(1)3个主要优势种并未受到明显的生境异质性的影响,总体呈现随机分布格局,其中短尾柯由于具有较高的根蘖率,导致在中树种群阶段于2~10 m处呈现聚集分布;(2)3个主要优势种在不同生长阶段之间1~25 m尺度范围内总体表现为无关联性,其中幼树与幼苗在小尺度(1~3 m)上均表现为正相关,细叶青冈中树与大树阶段之间存在潜在的负相关趋势,杉木幼树与大树阶段存在潜在的正相关趋势;(3)3个优势种群在发育过程中均未明显受到密度制约造成的自疏效应的影响.     

宁波陆源入海排污口优势菌群的数量、组成分析与研究

研究了宁波地区海域2011年3月、5月、8月、10月的排污口污水水体中可培养细菌的数量、组成及其分布, 探讨了优势菌群与当地环境的相关关系. 结果表明: 各地区细菌分布各月份性差异明显, 5月份、8月份细菌数量明显高于3月与10月, 其均值数量级能达到106 cfu?mL-1; 象山、余姚地区排污口细菌数量高于奉化、宁海、北仑地区, 细菌数量最高均值为8月份象山地区排污口(4.7×106cfu?mL-1). 优势菌群分布具有季节性分布特征: 3月份特有优势菌群为假单胞菌属(Pseudomonas sp.)与海单胞菌属(Marinomonas sp.); 5月份为假单胞菌属(Pseudomonas sp.)、海单胞菌属(Marinomonas sp.)与弧菌属(Vibrio sp.); 8月份为泛菌属(Pantoea sp.)、弧菌属(Vibrio sp.)、肠杆菌属(Enterobacter sp.); 10月份为不动杆菌属(Acinetobacter sp.)、弧菌属(Vibrio sp.)、希瓦氏菌属(Shewanella sp.). 多维尺度分析表明: 临近海域类型与排污口类型为排污口细菌群落变化的两个关键因素.     

广义严格对角占优矩阵的充分条件

1 引言 广义严格对角占优矩阵是一类在数值代数、数学物理和控制论等领域有着广泛应用的特殊矩阵,例如:线性方程组Ax=b,当系数矩阵A为广义严格对角占优矩阵时,许多经典的迭代算法均是收敛的,同时对目前提出的一些修正算法也是收敛的.     

α-对角占优与广义严格对角占优矩阵的判定

1 引言与记号 广义严格对角占优矩阵在数学、物理、控制论及经济学等许多领域有着重要的研究价值和实用价值.广义严格对角占优矩阵就是非奇异日一矩阵,它是一类范围很广的特殊矩阵,熟知的严格对角占优矩阵,不可约对角占优矩阵,非奇异M-矩阵等都是其特殊情形.如何在实际应用中简便地判别一个矩阵是否是日一矩阵,一直是人们关注的问题.     

一类0-1二次规划最优解的新算法

从矩阵的基础知识出发,给出了当目标函数矩阵是严格对角占优阵时,快速地获得0-1二次规划最优解的一个新算法;该方法具有很强的实用性,是此类问题的一个高效求解算法.     

On the parallel GSAOR method for block diagonally dominant matrices

In this paper we consider the parallel generalized SAOR iterative method based on the generalized AOR iterative method presented by James for solving large nonsingular system. We obtain some convergence theorems for the case when coefficient matrix is a block diagonally dominant matrix or a generalized block diagonal dominant matrix. A numerical example is given to illustrate to our results.