对称Toeplitz矩阵特征值的快速算法

利用n阶对称Toeplitz矩阵的结构特点和对称性,给出了计算该类矩阵所有特征值的一个快速算法,该算法的计算复杂度仅为O(n2logn).     

实对称矩阵对角化方法研究

受文[1]启发,笔者就实对称矩阵的对角化问题作了进一步研究,且用了文[1]的例2。 我们知道,任意n阶实对称矩阵都可以化成对角形矩阵,即如果A是n阶实对称矩阵,那么,总存在n阶正交矩阵T,使得     

实系数二次型标准化算法及编程

n阶实对称矩阵总可以化为与自身合同的对角矩阵,而且这种转化可以经过有限步操作完成据此,得到实系数二次型的标准化算法。     

Toeplitz矩阵逆阵的一种解法

Toeplitz矩阵的逆阵计算公式与Toeplitz矩阵现有三角变换算法相比，只需要进行简单的幂次运算，其运算复杂性大为减少，从而提高了计算速度，为等距B样条插值等应用领域拓展了算法．     

实斜对称矩阵的几个性质

给出了实斜对称矩阵的定义,以及n阶实矩阵为实斜对称矩阵的充要条件,较全面地研究了实斜对称矩阵的性质.     

Euclid空间中矩阵正定性判别的新方法

讨论Euclid空间中n阶实对称矩阵A是否正定,一直是矩阵理论中的重要问题。一改传统方法,从矩阵分解入手,逐步推导出一种新颖的判定方法,并给出将n阶实对称矩阵A分解为特殊三角矩阵与对角矩阵乘积的具体计算公式。     

广义对称变换

本文给出了Euclid空问的广义对称变换与广义对称矩阵的定义,讨论了n阶实矩阵是广义对称矩阵的充要条件,得到了广义对称变换与广义对称矩阵的一些性质.     

Hankel矩阵求逆与相乘的一种快速算法

不通过特征值的计算,直接给出了n阶Hankel矩阵求逆与相乘的一种快速算法,推广了现有的结果。若用FFT计算,其计算复杂性为O(log2n)。     

FUZZY对称矩阵和FUZZY次对称矩阵的一些问题

(1)给出了FUZZY次对称矩阵的定义,讨论与FUZZY对称矩阵之间的关系: 当R是FUZZY对称(次对称)矩阵时,则J·R、R·J是FUZZY次对称(对称)矩阵 (2)若R、Q是n阶FUZZY对称(次对称)矩阵,则R∪Q、R∩Q都是n阶FUZZY对称(次对称)矩阵。 (3)若R是FUZZY对称(次对称)矩阵,则R~C是FUZZY对称(次对称)矩阵。 (4)若R是FUZZY对称(次对称)矩阵,则R_λ,是对称(次对称)布尔矩阵。 (5)若R、Q是FUZZY对称(次对称)矩阵,则(R∪Q),与(R∩Q)_λ都是对称(次对称)布尔矩阵。     

Fuzzy次对称阵

Fuzzy矩阵的研究在Fuzzy自动机理论,Fuzzy语言,Fuzzy算法等方面已有广泛应用．本文从纯数学角度,给出了Fuzzy次对称阵的一些性质,并对如何判刑一个n阶Fuzzy方阵是Fuzzy次对称阵作了初步的研究．     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

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/     

漏洞百出的教育

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?     

只要努力,不要后悔

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.     

浅谈移民问题

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.     

Sister Carrie, an Adherent of Desires

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.     

Improvement of one-cycle controller by use of proportional integral differential controller

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

库克斯顿城堡

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!     

胡主席在印度,我却在中国

Today, Sunday morning, I sit thinking and typing at my computer. My thoughts are in my homeland, India and my body is in China. The body is here and mind there for a good reason. Mr. Hu is president and I am resident and both are in each other's countries (what a difference the absence of one small letter makes!). Mr. Hu will return in a few days and I will stay on longer.