The linear model with linear equality constraints is considered.
考虑带线性等式约束的线性模型。
In this paper, the descending dimension algorithm for nonlinear programming problems with linear equality constraints are discussed.
本文研究含有线性等式约束的非线性规划问题的降维算法。
Under definite conditions, comparing two linear models with linear equality constraints, some simple necessary and sufficient conditions is obtained.
在一定条件下，比较带有线性等式约束的两个线性模型，得到了几个简洁的充要条件。
Chapter 3 constructs a new generalized pattern search method for linear equality constrained optimization problems and gives the proofs of the global convergence.
第3章给出了广义模式搜索算法对线性等式约束最优化问题的一个新解法，并证明了这种算法的全局收敛性。
The idea of conjugate gradient path in unconstrained optimization irradiates us to use this method for solving the linear equality optimization subject to bounds on variables.
无约束优化问题的共轭梯度路径构造的思想启迪我们用其来解带线性等式约束和有界变量约束的优化问题。
The conditional optimal prediction of the conditional predictable variable in the multivariate linear model with arbitrary rank and linear equality constrains was investigated.
研究了任意秩多元线性模型中最优线性无偏预测的稳健性，即对任一线性可预测变量，得到了其关于协方差矩阵具有稳健性的充要条件。
In this paper, we give a relation between constrains with equality and inequality, and have solved the possibilistic Linear programme problems.
本文给出了等式约束与不等式约束的关系定理，解决了带等式约束的可能性线性规划问题。
In this paper, using the theories of linear model in the statistics, we can give the general expression on solution of a class of equality constrained quadratic programs problem.
本文利用统计学中线性模型的理论给出一类等式约束二次规划问题解的表达式。
In this paper, the authors establish a new method of finding the base feasible solution for linear program subject to non-negative variables and equality constraints.
针对这一问题，文章提出了求非负变量等式约束基本可行解的一种方法。
It is proved that the equality of deformation powers and the equality of strain energy in case of linear elasticity are deduced from the present theory.
文章论证了所述等效理论具有的形变功率等值性和线弹性条件下的应变能等值性。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
In this dissertation, we mainly focused on the restricted biased estimation and preliminary test estimation of parameter in linear models with equality restrictions and stochastic linear restrictions.
本文主要是研究线性模型参数在等式约束和随机线性约束下的约束有偏估计以及预检验估计等相关的一些问题。
In this dissertation, we mainly focused on the restricted biased estimation and preliminary test estimation of parameter in linear models with equality restrictions and stochastic linear restrictions.
本文主要是研究线性模型参数在等式约束和随机线性约束下的约束有偏估计以及预检验估计等相关的一些问题。
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