讨论了一类块三对角矩阵的求逆问题。
The inverse of a class of block tridiagonal matrices is investigated.
离散后的三对角线性代数方程组用adi方法求解。
The discretized tri-diagonal linear algebraic equations are solved with ADI method.
本文介绍缔合物系精馏过程模拟计算的三对角矩阵法。
The tridiagonal matrix method is introduced for the analogue computation in the rectification process of associated system.
该算法比已有的块三对角矩阵求逆算法的计算复杂度和计算时间低。
The computing complexity and computing time of this algorithm is lower than that of existed algorithms.
由块三对角矩阵的LU分解，得到了其逆矩阵块元素的显式表达式。
With the LU decomposition of the block tridiagonal matrix, an explicit expression of the block inverse elements is obtained.
根据块三对角矩阵的特殊分解，给出了求解块三对角方程组的新算法。
A new algorithm of solving block tridiagonal systems is proposed, which is based on the special factorization of block tridiagonal matrix.
将奇异摄动方法应用于一个精馏塔，得到具有三对角结构的动态简化模型。
By applying singular perturbation to a distillation column, an order-reduced dynamic model with tridiagonal structure is obtained.
本文用动态规划方法对一类对称的矩阵元三对角型线性方程组给出一种递推算法。
In this paper, a recurrence formula is given, by use of dynamic programming method, to solve the problem of linear algebraic equations with symmetric martrix element of tri-diagonal ty...
本文用动态规划方法对一类对称的矩阵元三对角型线性方程组给出一种递推算法。
In this paper, a recurrence formula is given, by use of dynamic programming method, to solve the problem of linear algebraic equations with symmetric martrix element of...
用位移法计算连续梁、对称性荷载作用下的单跨多层刚架，总刚度阵为对称三对角阵。
Calculating the continuous beam, frame of single-span and multi-story by deflection method, the stiffness matrix is symmetrical three-diagonal.
本文讨论了一类特殊的三对角线性方程组的解法，这种解法既是稳定的，运算量又较少。
This paper proposes a solving process of the special triple diagonal systems. And the process is proven to be stable and easy to do with less calculation.
对互联电路的计算，可利用三对角线方程组的追赶法，减小了计算量，提高了计算速度。
The calculation time of cascade circuit was reduced by using of the chase after method of tridiagonal equations.
根据三对角矩阵的特点，给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
三对角线部分逆m矩阵是结构上为三对角线形式的同时又为部分逆m矩阵的一类特殊矩阵。
Tridiagonal partial inverse m matrix is a special matrix. It is tridiagonal in structure and is a partial inverse m matrix.
本文根据分块循环三对角矩阵的特殊分解，给出了求解分块循环三对角方程组的一种新算法。
A new algorithm of solving circulant block tridiagonal systems is proposed, which is based on the special factorization of circulant block tridiagonal matrix.
针对循环或者拟循环三对角方程组，仿照追赶法的思想，给出了一种求解这两类方程组的追赶算法。
Based on the idea of chasing method, a new algorithm is developed to solving the circular and quasi-circular tridiagonal systems in this paper.
利用严格对角占优和三对角矩阵的某些特性，推导出严格对角占优三对角矩阵逆元素的统一估计式。
The estimation on the inverse elements of strictly diagonally dominant tridiagonal matrix is established; in this estimation, the nonnegative condition of matrix elements is moved.
本文给出了严格对角占优周期三对角矩阵逆元素上界和下界的估计，改进了一些学者近期的研究结果。
In this paper, we give the estimates for the upper and lower bounds on the inverse elements of strictly diagonally dominant periodic tridiagonal matrices, and improve the latest findings.
由离散解得到的非对称线性方程组，对于QPNS采用块三对角法，对于FNS采用GMRES算法。
The nonsymmetric and linear equations from the discrete solution are solved by using block tridiagonal systems for the QPNS equations and by GMRES algorithm for the FNS equations.
在保持了该算法快速收敛优点的同时，利用相关矩阵块三对角的特殊结构，降低了该算法的计算复杂度。
This new method reduces the computational complexity by using the block tridiagonal structure of the input sample correlation matrix, and at the same time keeps the property of fast convergence.
介绍了三对角型方程组的SPP算法，将之推广来求解一般的带宽较窄的带状或者稀疏带状线性方程组。
We introduce an algorithm for tridiagonal and block tridiagonal equations: SPP algorithm, which can be extended to solve general narrow-banded sparse linear equations.
此外，鉴于目前三对角矩阵法的组成圆整方法的不足，作者提出了改进的圆整方法，显著加快了三对角矩阵法的收敛速度。
The convergence rate of TRIDIA is quickened markedly with the improved rounding method proposed by the authors for the composition of the TRIDIA.
基于并行计算的分治思想，对于严格块对角占优的块三对角线性方程组提出一个可扩展的块重叠分割并行近似求解方法（PBOA方法）。
A high efficiency scalable parallel algorithm, parallel block overlapped partition approximate(PBOA) algorithm, is proposed for solving block tri-diagonal linear systems on multiple computers.
即内层迭代是将物料平衡方程和相平衡方程联立，化为三对角矩阵形式，由之解出各板液相组成后，通过泡点计算法求定各板新的温度和相平衡常数。
The internal iterative calculation is to correlate the equations of mass and phase equilibrium into a triple diagonal matrix from which the liquid compositions can be found out.
即内层迭代是将物料平衡方程和相平衡方程联立，化为三对角矩阵形式，由之解出各板液相组成后，通过泡点计算法求定各板新的温度和相平衡常数。
The internal iterative calculation is to correlate the equations of mass and phase equilibrium into a triple diagonal matrix from which the liquid compositions can be found out.
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