This paper considers the moment problem for modules over principal ideal domain containing existence and uniqueness of solution.
研究主理想环上模的矩量问题,包括矩量问题的存在性和唯一性。
This paper offers a sufficient and necessary condition for the existence of solution of moment problem on left modules.
本文给出左模上的矩量问题有解的充要条
Provides a sufficient and necessary condition for the conclusion of existing certain solution of some moment problems on s dimensional cube of R s by means of several results of the multivariate approximation, and thus the Hausdorff′s classical moment theorem can be extended to the high dimensional case.
利用多元函数逼近、正泛函表示及半序空间间加性正算子延拓等结果给出了Ｒｓ中ｓ－维立方体上矩量问题有解的充要条件，从而把古典的Ｈａｕｓｄｏｒｆ矩量问题的定理推广到高维情形。
An intrinsic one-to-one correspondence between solutions to the multiple Nevanlinna-Pick interpolation problems in five function classes and solutions to their associated standard/nonstandard truncated power moment problems is established.
建立了在五个函数类中Nevanlinna Pick插值问题的解与相关的幂矩量问题的解之间明确的一一对应关系,所用的方法是Hankel向量方法。
The authors pursue previous investigations of establishing an intrinsic correspondence between a Nevanlinna Pick interpolation in the class N p or S p and a certain power moment problem.
继续作者最近得到的NP问题 (在Np 类或Sp 类 )与幂矩量问题的内在对应的研究成果 ,主要考虑这 2个问题的解的具体描述 。
A Generalization of a Class of Inverse Problem for Matrices with a Submatrix
一类子矩阵约束下矩阵反问题的拓广
Best Approximate Solutions of the Matrix Inverse Problems with Some Submatrixes Constraint
子矩阵约束下矩阵反问题的最佳逼近解
Least-Squares Solutions of Inverse Problems for W-Para-Anti-Symmetric Matrices
W准反对称矩阵反问题的最小二乘解
Inverse Problem for Generalized Toeplitz Matrices over Quaternion Field
四元数体上广义Toeplitz矩阵反问题
Least-squares Solution for the Inverse Problem of Several Matrices;
几类子阵约束下矩阵反问题的最小二乘解
Inverse Problem of Doubly Center Matrices under Submatrix Constraint and Its Optimal Approximation
子矩阵约束下的双中心矩阵反问题及其最佳逼近
The Least-squares Solution of the Inverse Problem for General-antisymmetrizable Matrix;
广义可反对称化矩阵反问题的最小二乘解
Least-square Solutions of Inverse Problem for Symmetric and Skew Anti-symmetric Matrices;
对称次反对称矩阵反问题的最小二乘解
The Inverse Eigenvalue Problems for Jacobi and Periodic Jacobi Matrices;
Jacobi矩阵及周期Jacobi矩阵特征值反问题
On Some Inverse Eigenvalue Problems for Structured Matrices and Matrix Equation Problems
几类特殊矩阵特征值反问题与矩阵方程问题
Inverse Eigenvalue Problems for Jacobi Matrices and Other Inverse Problems;
Jacobi矩阵特征值反问题及其它反问题
Inverse Problem of Matrix Equation of AX=B on the Sub-generalized Positive Definite Matrix;
矩阵方程AX=B在次广义正定矩阵类上的反问题
Two Kinds of Inverse Problems for Hermitian Anti-reflexive Matrices
Hermitian非自反矩阵的两类反问题
Optimal Approximation Problem of Antireflexive Matrices under the Spectral Restriction
谱约束下反自反矩阵的最佳逼近问题
The Questions of Least-squares and the Optimal Approximation of the Generalized Reflexive Matrices and Generalized Anti-reflexive Matrices;
广义自反矩阵和广义反自反矩阵的最小二乘及其最佳逼近问题
The Minimum Frobenius Norm Symmetric Solution of an Inverse Problem for Matrix Equations;
矩阵方程反问题的极小Frobenius范数对称解
On Inverse Toeplitz Eigenvalue Problem;
关于Toeplitz矩阵特征值反问题的研究
On the Diagonalization of Real Anti-Symmetric Matrix;
关于实反对称矩阵对角化问题的讨论