共查询到20条相似文献,搜索用时 78 毫秒
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本文就已知一个方阵的各个特征值及对应的线性无关的一组特征向量,如何求解出此方阵作一讨论,并进而对三类矩阵方程的解法作一些讨论。一、题目:设n阶未知方阵A的特征值分别为人,人,…,入;对应的特征向量为P;,PZ,…,Pn,且它们线性无关,求A。对此,一般解法是记P一(P;,…,Pn),A一diag(入,…,入),由条件知P可逆,便有相似变换A—PAP-‘。因此求出P-‘后,可由矩阵乘法直接求得A。关系式写成AP—PA,我们可______。_,。__,,,。,。__/Pt、,‘。,_、____。_。__/P\列变状/E\… 相似文献
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关于一个行列式恒等式及其几何意义檀结庆,宋宝瑞(吉林大学)(大连理工大学)定理对任意的xi,yi,i=1,2,3,4,及x,y,但成立证设(x;,yl),(x。,y。),(x。,y。),(x。y。)为直角坐标平田上的四个点并分别以1,2,3,4记之(... 相似文献
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变量有上界的运输问题的解法 总被引:1,自引:0,他引:1
变量有上界的运输问题的解法葛万霞(北京经济学院)变量有上界的运输问题的一般提法是:设某种物资有m个产地Al,/1。…·,A。产量分别为山,a。,…,a。个单位,有。个销地B;,B。,…,凡,销量分别为b;,b。,…,b。个单位,且产销平衡.即】a。一... 相似文献
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在数学理论的研究和应用中,常常遇到这样的问题,设两个二元函数它们都在点(x0,y0)的某个邻域内连续(甚至于有更好的性质,例如可微),且(x0,y0)是它们的公共零点。当(x,y)→(x0,y0)时’此两个二元函数之商的极限是否存在?这是二元函数I型未定式的极限问题。与一元函数相比,二元函数未定式的极限问题要复杂得多和困难得多。引理1设函数g(x,y)在点(0,0)处可徽,且g(0,0)一0,匕radg(0,0)一1人IZ,。。。_,2,。。、_。。。__。J。(0,0)。,___。_。nn。V。。。_Vg‘Z(0,0)+g’2(0,0)学0… 相似文献
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文[1]中,王方汉老师有如下猜想:当n为形如4m-1(mEN)的素数时,生成数列凡一l=(1,2,…,牛/,M,…,2,l)所确定的数列B,,具有遍历性.也就是说,设数列凡1=(r,12,…,r。-l),h为正整数,B。=(hi,bZ,…,b。),1=hi<bZ<…<b。且均为整数,设凡;与B。之间有如下映射关系:。。。。,;;=(1,2,…,宁,宁,…,2,1)且n为形如4m-1的素数时,数列B。各项被n除的余数恰是0,1,2,…,n-1的一个全排列.显然,数列B。=(hi,bZ,…,b。)各项被n除的余数恰是0,1,2,…,n一且的一个全排列等价于… 相似文献
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常言道,“珠算好学,位难定。”对珠算加减算来说,数位是固定的,只要“数位对齐,同位相加减”就行了。这里所指的“位难定”,主要是指珠算乘除法。正是由于一般人对珠算乘除法的定位不得其法,才产生对珠算乘除算的畏难心理。其实,只要熟练掌握了珠算乘除法的定位规律,珠算乘除法就会变得象珠算加减算那样简单。实际上,珠算乘除法也就是变向的加减算,只不过须知道在算盘哪一档位上进行加减算,这就是珠算乘除法定位的问题。笔根据多年《珠算》课程的教学实践,对珠算乘除法定位这一教学难点,深入研究,现有一些教学心得,整理成,来与广大同行探讨。 相似文献
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如果常数项无穷级数的部分和数列从当n无限增大时有极限S,即tims.一S,则称级数()收敛,且S叫级数()的和。计算数项级数的和,是一个常见的重要问题,这里介绍三种主要方法。1.直接求和法对较简单的级数,可先求出S,再取极限即可。特别,若u。一八十;一y.,(n—1,2,…),且timy.—y_,则>:u。一人一八.2幂级数法对于级数(l),若能构造一适当的幂级数Za。。,使八一a。xz,且工。在幂级数的收敛域中,同时幂级数】a。x”的和函数可以求出来,则有】u.一S(x。)。特别地,可使用亚倍尔方法,即若级数】a。收敛,则… 相似文献
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利用矩阵指标集的k-级划分和子矩阵的谱半径,给出了正定条件下广义H-矩阵的一组判定条件,当块矩阵退化为点矩阵时,这些条件即为非奇异H-矩阵的充分条件.这些结果改进了近期的相关结果,并用数值算例说明本文判定条件的有效性. 相似文献
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《中国科学 数学(英文版)》2015,(8)
We investigate solutions to superlinear or sublinear operator equations and obtain some abstract existence results by minimax methods. These results apply to superlinear or sublinear Hamiltonian systems satisfying several boundary value conditions including Sturm-Liouville boundary value conditions and generalized periodic boundary value conditions, and yield some new theorems concerning existence of solutions or nontrivial solutions. In particular, some famous results about periodic solutions to superlinear or sublinear Hamiltonian systems by Rabinowitz or Benci and Rabinowitz are special cases of the theorems. 相似文献
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Szilárd László 《Mediterranean Journal of Mathematics》2016,13(2):729-744
In this paper, we provide sufficient conditions that ensure the convexity of the inverse images of an operator, monotone in some sense. Further, conditions that ensure the monotonicity, respectively the local injectivity of an operator, are also obtained. Combining the conditions that provide the local injectivity, respectively the convexity of the inverse images of an operator, we are able to obtain some global injectivity results. As applications, some new analytical conditions that assure the injectivity, respectively univalency of a complex function of one complex variable are obtained. We also show that some classical results, such as Alexander–Noshiro–Warschawski and Wolff theorem or Mocanu theorem, are easy consequences of our results. 相似文献
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We present some results about Lipschitzian behavior of solutions to variational conditions when the sets over which the conditions
are posed, as well as the functions appearing in them, may vary. These results rely on calmness and inner semicontinuity,
and we describe some conditions under which those conditions hold, especially when the sets involved in the variational conditions
are convex and polyhedral. We then apply the results to find error bounds for solutions of a strongly monotone variational
inequality in which both the constraining polyhedral multifunction and the monotone operator are perturbed.
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图的因子和因子分解的若干进展 总被引:7,自引:0,他引:7
本文综述了图的的因子和因子分解近年来的一些新结果。主要有图的因子与各种参数之间的关系,图有某种因子的一些充分必要条件,特别是图有k-因子的一些充分条件以及关于图的因子分解和正交因子分解的一些新结果。文中提出了一些新的问题和猜想。 相似文献
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In this paper, we investigate the normality relationship between algebroid multifunctions and their coefficient functions. We prove that the normality of a k-valued entire algebroid multifunctions family is equivalent to their coefficient functions in some conditions.Furthermore, we obtain some new normality criteria for algebroid multifunctions families based on these results. We also provide some examples to expound that some restricted conditions of our main results are necessary. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2010,15(11):3525-3535
A second order almost periodic perturbed nonlinear system with small parameter is discussed in this paper. Based on some analytical techniques and the method of averaging, some sufficient conditions are obtained for existence of one almost periodic solution. Also some suitable conditions are given for existence of two almost periodic solutions. The obtained new results generalized the known results in Seifert [1], [3] and He [2], [4]. Finally, some applications are presented to illustrate that our results are a good generalization of the known results. 相似文献
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Khalid H. Al-Shaalan 《印度理论与应用数学杂志》2017,48(2):259-269
In this paper we prove some theorems of commutativity for near-rings with generalized derivations. As a consequence of the results obtained, we generalize some published results. Also, we give some examples to show that some conditions in some results obtained are not redundant. 相似文献
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研究了SF-环与P-内射环的关系,构造了SF-环成为P-内射环的一系列条件.证明了SF-环R只要满足其中之一:R的每个极大左理想是有限生成的;特殊右零化子的降链条件;对R的每个极大左理想M,l(M)在R中是本质的,那么R就是P-内射环.在此基础上,利用一定条件下SF-环的P-内射性,发展了SF-环的若干新结果,这些结果部分地拓展了有关文献中的结果. 相似文献