递推公式

This paper proposes a hybrid scheme, which combines the advantages of spectrum LU decomposition and direct solution.

文中采用谱分解方法建立起矩阵列元素的谱分解表，并采用直解法的递推公式，可以快速给出矩阵的分解。

Furthermore, the situation of the targets and imaging devices considering noise is studied. The recurrence formula of parameter estimation and the steady variance of estimation error are given.

进一步研究了目标受到干扰及成像设备存在噪声情况下的目标运动参数的估计问题，得到了参数估计的递推公式，并给出了估计误差稳态方差的范围。

In this paper, by using the method of expanding the hard-edge aperture function into a finite sum of complex Gaussian functions, the recurrence propagation expression for the propagation of partially coherent beams through a multiple apertured ABCD optical system is derived, which provides a fast algorithm for simulating the propagation of partially coherent beams through hard-aperture optics.

用有限个复高斯函数之和来逼近硬边光阑窗函数的方法，推导出了部分相干光通过多个硬边光阑ABCD光学系统传输的递推公式，提供了一种模拟部分相干光通过硬边光学系统传输的快速算法。

This paper put forward a recurrence formula through calculation and synthesis,based an harmonic series theory.

通过计算、综合、证明等步骤，得出飞机空中加油问题的递推公式，并以调和级数等相应的数学理论为基础来解决。

Although the infinite Toeplitz matrix can not be dealt with the methods for finite matrix, it is found that its spectral is continuous by a series of pertinent elementary transformations for infinite matrices.

虽然这类矩阵不可以用有限阶矩阵的方法处理，但通过一系列相伴的初等变换，发现它们的特征值是连续变化的，获得特征向量的递推公式，从而得到这些算子的谱的连续性的一个直观证明。

Based on the special matrix operations including Kronecker product, Hadamard product and vectorization, the integration of monomial integrand on simplex domain is expressed in matrix form and a recursive formula for the simplex integration is presented.

基于Kronecker积、Hadamard积和拉直等矩阵特殊运算，将单项式函数在单纯形上的积分表示为矩阵形式，提出了单纯形积分的递推公式。

By analyzing the differences of three rank parameter curve from zero rank to three ranks, the interpolation successive formula is deduced.

通过对三次参数曲线 0 3阶差分的分析，导出了其插补递推公式，其中只包含加法运算，可以得到很高的插补速度。

Optimizing and Realization of the Finite Field Inversion Algorithm Based on FPGA;2. The stability and operation of the inversion formula for Toeplitz matrices are also considered.

利用两个线性方程组是否有解给出了Toeplitz矩阵可逆的条件，表明Toeplitz矩阵之逆阵可以表示为φ-循环矩阵与上三角Toeplitz矩阵的乘积之和，给出了其逆矩阵列的递推公式，得到了求Toeplitz矩阵之逆矩阵的快速算法。

The linearly constrained minimum variance algorithm based on the power inversion array and its iterative formula are deduced in the paper, which avoids the complexities of matrix inversion.

详细推导了基于功率倒置阵列的线性约束最小方差算法及其递推公式，避免了矩阵求逆的复杂运算。

As an application of the new algorithm, we study the conditions of the origin to be a center and to be an isochronous center for a class of polynomial system.

作为递推公式的应用，我们还解决了一类多项式系统原点的中心与等时中心条件问题。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。