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sturm sequence
相关语句
  sturm序列
     The efficient and reliable Sturm Sequence Method is used in conjunction with the 0.618 Loading Technique to determine the critical stresses in computation.
     计算中,将Sturm序列方法与0.618加载法相结合以确定临界应力。
短句来源
     Based on the estimates ofabsolute values of the roots, Role theorem, Sturm sequence, and Descartes’ruleof sign, intervals containing a real root can be obtained by the algorithm.
     该算法根据根绝对值的上、下界估计,利用Role定理, Sturm序列和符号判别法则,以一系列区间形式给出实解,每一个以有理数为端点的区间正好包含一个实根.
短句来源
     It has also described how to use properties of the general Sturm sequence in this method to improve computation efficiency and to prevent loss of eigenroots.
     文中还叙述了如何利用Sturm序列在本文方法中的性质,来提高计算效率和防止漏根的措施。
短句来源
     Constructing real-symmetric matrix based on polynomial's Sturm sequence,we give the matrix description for the real root numbers of real-coefficient polynomial on given open interval.
     通过构造由多项式的Sturm序列所确定的实对称矩阵,给出了实系数多项式在给定的开区间内不同实根个数的矩阵描述.
短句来源
     The paper derives element stiffness matrix and mass matrix from extremumof the functional. Then generalized eigenproblem is solved by Householder transformation,Sturm Sequence and other techniques.
     本文通过泛函求极值导出单元刚度矩阵与质量矩阵,然后用 Householder 交换和 sturm 序列等技术解广义特征问题。
短句来源
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  “sturm sequence”译为未确定词的双语例句
     B-net form of bivariate splines function; discriminant sequence of polynomial (cf.[13],[73]) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite.
     3:利用杨路,张景中,侯晓荣在文献V13],[73])中关于一元多项式实根的显式判准,以及二元样条函数的B-网形式,多项式的判别序列和 Sturm序列的最高次数项系数序列的变号数,本文给出了两个分片代数曲线的丈交点数(假设公共点是有限的)的计算公式。
短句来源
     The thesis focuses on the research of the transcendental eigenproblems. Base on the Sturm sequence property, Wittrick and Williams has developed an algorithm to solve transcendental eigenvalue problem. It enables one to count the number of frequencies exceeded by a given trial frequency.
     根据Sturm序列的性质,wittrick和Williams论证得到了求解超越特征值问题的一种算法,它可以数出在任意预定的频率之下结构的固有频率个数。
短句来源
     Using the techniques of explicit criterion to determine the number of real roots of an polynomial, the discriminant sequence of polynomial, the principal minor sequence of the discrimination matrix( cf.[1-2]) and the number of sign changes in the sequence of coefficients of sturm sequence, An explicit criterion to determine the number of positive solutions of a nonlinear algebraic equition system whose solution are finite is given.
     利用关于一元多项式实根个数的显式判准、多项式的判别式序列、判别矩阵的顺序主子式序列和Sturm序列的变号数,给出了关于二元非线性代数方程组正解数的一个显式判准(假设方程组的解是有限的).
短句来源
  相似匹配句对
     sequence.
     序列的情形作了相应的推广
短句来源
     On Security of k-M Sequence
     关于K—M序列的安全性
短句来源
     3.Sturm comparisontheorems.
     3.Sturm 比较定理.
短句来源
     The efficient and reliable Sturm Sequence Method is used in conjunction with the 0.618 Loading Technique to determine the critical stresses in computation.
     计算中,将Sturm序列方法与0.618加载法相结合以确定临界应力。
短句来源
     A Note on Sturm Theorem
     关于Sturm定理的一点注记
短句来源
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  sturm sequence
Computer modeling of a discrete model of interacting solitons with allowance for the symmetry of the solutions gives eigenvalues of the Sturm sequence that differ from the solutions of the continuum approximation.
      
In the new strategy the terms in the Sturm sequence are computed only as long as relevant information on the required eigenvalues is obtained.
      
The Christoffel weights can be expressed as ratios of two terms which are most easily calculated in a Sturm sequence beginning with the highest value ofl.
      
The tenth degree polynomial has an associated Sturm sequence, which consists of eleven polynomials of degree zero to ten.
      
The definition of a Sturm sequence, also called Sturm chain is given in Appendix A.
      
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In this paper the primary conclusion is derived that the leading prinoipal minors of matrix B-ωA*(where B is symmetric positive definite and A* is Hermite)have similar properties to those of Sturm sequence,thus giving the theoretical basis of the Determinant Research Method for solving : the eigenproblem of damped structural systems (i,e..Mq+Cq+Kq=0) and correcting the errors in the statement given by K.K.Gupta in [1]-[5].

本文的主要结果是得出了矩阵B—ωA(其中B为对称正定矩阵,A为Hermite矩阵)的首主子式具有类似于Sturm序列的性质,从而建立了求解阻尼结构振动方程M(?)+C(?)+Kq=0特征值问题的行列式查找法的理论基础,改正了K.K.Gupta在文献[1]—[5]中的错误提法。

Determinant Research Method is one of the effective methods for calculating the generalized eigenvalues and corresponding eigenvectors of a large sparse matrix. Its theoretical foundation is that for a symmetric matrix the leading principal minors of the eigenmatrix form a Sturm Sequence. In this paper, we show the property in a rather general condition and modify the routine EASI given by K.K. Gupta. Having been used to the vibration analysis of a rectangular cantilever plate, the algorithm is shown to...

Determinant Research Method is one of the effective methods for calculating the generalized eigenvalues and corresponding eigenvectors of a large sparse matrix. Its theoretical foundation is that for a symmetric matrix the leading principal minors of the eigenmatrix form a Sturm Sequence. In this paper, we show the property in a rather general condition and modify the routine EASI given by K.K. Gupta. Having been used to the vibration analysis of a rectangular cantilever plate, the algorithm is shown to be effective for solving free vibration problems of the undamped structure.

“行列式查找法”是计算大型稀疏矩阵广义特征值和特征向量的有效方法之一,其理论基础是对称矩阵的各阶顺序主子阵的特征行列式形成Sturm序列。本文在更一般的条件下证明了这一性质,同时改进了K. K. Gupta提出的程序EASI,将算法用于悬臂矩形板的振动分析的结果说明它是求解结构无阻尼自由振动问题的有效方法。

Present paper partially improves the method so called "A Direct Eigenvalue Analysis"[3] and explaines the properties and characteristices of the improved method. For example, this paper clearly indicates that the methods of this kind always result in the type of eigenproblem of fractional polynomial.It has also described how to use properties of the general Sturm sequence in this method to improve computation efficiency and to prevent loss of eigenroots. The numerical examples show that this improved method...

Present paper partially improves the method so called "A Direct Eigenvalue Analysis"[3] and explaines the properties and characteristices of the improved method. For example, this paper clearly indicates that the methods of this kind always result in the type of eigenproblem of fractional polynomial.It has also described how to use properties of the general Sturm sequence in this method to improve computation efficiency and to prevent loss of eigenroots. The numerical examples show that this improved method satisfies engineering requirements.

本文针对资料[3]的所谓“直接特征值分析法”作了局部改进;同时,对该方法改进后的性质和特点作了说明(明确指出该方法导致一个“分式特征值问题”)。文中还叙述了如何利用Sturm序列在本文方法中的性质,来提高计算效率和防止漏根的措施。算例表明,本文的改进方法能适应实际工程问题的要求。

 
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