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1.
矩阵方程的初等行变换解法刘明贤在现行线性代数教材中.解矩阵方程AX—B或XA—B,都是通过求矩阵A的道的方法解出未知数矩阵X。这种方法不仅运算繁冗,而且当A不是方阵时,还不能用此法求解。本文试图用初等行变换法(约定在施行变换过程中,不互换两行的位置)...  相似文献   

2.
本文给出了矩阵方程(1)AXX^T+BYB^T=C,(Ⅱ)(A^TXA,B^TXB)=(C,D)有亚半正定解的充要条件。  相似文献   

3.
矩阵方程AX=B(或XA=B),当A可逆时,一般解法是:(1)求A-1;(2)计算A-1B(或BA-1)即为其解。这种方法虽然思路自然,现用教材大多采用这种解法。但运算较繁。其实稍加改进便可得到自然而简捷的方法。当A可逆时,矩阵方程AX=B的解为:X=A-1B。因为A-1(A∶B)=(E∶A-1B),又因A-1可逆,所以,A-1=P1P2…Pn。其中P1,P2,…,Pn为初等矩阵,A-1左乘矩阵(A∶B)施行行的初等变换将A化成E的同时,就可以将B化成A-1B,即为矩阵方程的解。例如:解矩阵方程…  相似文献   

4.
(一)填空题12-101-4000-1=。2若A为3×4矩阵,B为2×5矩阵,且乘积AC′B′有意义,则C为矩阵。3设二阶矩阵A=11015=。4设A=1240-34,B=-1203-14,则(A B′)′=。5设A,B均为3阶矩阵,且A=B=-3,则-2AB=。6矩阵2-124020-33的秩为。7n 1个n维向量组成的向量组一定线性。8若线性方程组AmnXn1=Bm1有解的充分必要条件是。9齐次线性方程组AmnX=0的系数矩阵r(A)<n,则方程组的基础解系中解向量个数为。10若A,B为两事件,且P(A)>0,P(B|A)=P(B),则A与B。11若X~B(n,p)且E(X)=6,D(X)=36,则n=。12设A,B为…  相似文献   

5.
再谈线性矩阵方程的解   总被引:1,自引:0,他引:1  
讨论了矩阵AXB=C有解的充分必要条件,并且给出了求此矩阵方程的方法  相似文献   

6.
《嘉应学院学报》2017,(2):24-28
为提高对称非负矩阵分解算法的效率,提出了一种基于Lanczos三角化的对称非负矩阵分解初始化方法。该方法可与现有的对称非负矩阵分解算法相结合取得更高的效率.实验表明,现有的对称非负矩阵分解算法与文中提出的初始化方法相结合可以收敛到一个较优解.  相似文献   

7.
利用矩阵的广义逆及奇异值分解,给出了子矩阵约束下线性矩阵方程XA=B有对称非负定解的充分必要条件,并在有解时,给出了相应解的一般表达式。  相似文献   

8.
在GMANOVA-MANOVA模型中,对于指定的非负定矩阵C,本文给出了tr(C∑)是tr(C∑)的一致最小方差非负二次无偏估计的充要条件,这里∑是∑的(一定意义下的)最小二乘估计。  相似文献   

9.
本文研究了任意体上的矩阵方程「XnnAm,XnnBnt」=「Ans,O」,给出了(Ⅰ)的相容的充要条件、通解的显式表示,解的性质及其实用解法,通常意义下的投影矩阵在任意体上也得到了进一步的推广。  相似文献   

10.
耦合代数Riccati方程在控制论中具有广泛的应用,文章研究了一类耦合代数Riccati方程的解。基于M-矩阵和非负矩阵的理论,在一定假设条件下,证明了这类耦合代数Riccati方程存在最小非负解。最后通过数值算例,验证了所得结果的有效性。  相似文献   

11.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

12.
一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/  相似文献   

13.
《海外英语》2007,(5):10-11
Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?  相似文献   

14.
《海外英语》2007,(4):36
There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.  相似文献   

15.
王菲 《华章》2007,(12):273-273
Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.  相似文献   

16.
裴水妹 《华章》2007,(11):196
Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.  相似文献   

17.
18.
1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…  相似文献   

19.
《海外英语》2007,(4):8-9
城堡, 是欧洲典型的建筑之一, 每个城堡都有一个美丽的传说或是一段历史。从本期开始, 我们将推出“城堡之旅”, 带各位读者去浏览、观赏欧洲各地的城堡, 开始一段文化与历史的旅途!  相似文献   

20.
During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context.  相似文献   

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