同时还给出了它的最佳逼近问题的极小范数解。
The least-norm solution of the optimal approximation was given.
证明了最佳逼近问题存在唯一解，并给出了求最佳逼近解的算法和数值算例。
The numerical method to find the optimal approximate solution and numerical experiments are provided.
对给定的特征值和对应的特征向量，提出了对称正交对称半正定矩阵逆特征值问题及最佳逼近问题。
From given eigenvalues and eigenvectors, the inverse eigenvalue problem of symmetric ortho-symmetric positive semi-definite matrices and its optimal approximate problem were considered.
把计算方法中的最小二乘法与泛函的抽象空间联系起来，得到最佳逼近问题的抽象提法，并在赋范线性空间探讨最小二乘法。
This article focuses on the topics that by connecting the the least-squares Minimization with the functional abstract space, the abstract definition of the best approximation problem is abtained.
信号的稀疏表示或最佳n -项逼近是数据压缩、噪声抑制等众多应用中的一个重要问题。
Signal sparse representation or the optimal N-term approximation is one of the important problems, which is applied to many areas such as the data compression, denoising.
利用矩阵的极分解，导出了逆特征值问题的最佳逼近解。
The optimal approximate solution of this inverse eigenvalue problem also was given by means of the polar decomposition of matrices.
本文研究具有某些固定元素的矩阵在线性约束下的最佳逼近，其结果可以用于解一类矩阵反特征值问题。
In this paper, we consider the best approximation of a matrix under a given linear restriction with some fixed elements. This result can be apply to solving a class matrix inverse eigenvalue problem.
同时，作为应用，研究了最佳联合逼近元的存在性与唯一性问题。
As applications, existence and uniqueness of a best simultaneous approximation element are studied.
应用最佳一致逼近理论，从最小条件出发建立了评定平面度误差的数学模型，对评定平面度误差的理论问题进行了分析研究。
In this paper, the mathematical model of flatness error is established. The theory of optimal approximation is used to analyze the theoretical problem of flatness error.
讨论了反中心对称矩阵反问题及其最佳逼近。
This paper discusses the inverse problems of anti-centrosymmetric matrices.
讨论了反中心对称矩阵反问题及其最佳逼近。
This paper discusses the inverse problems of anti-centrosymmetric matrices.
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