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toeplitz matrix的中文,翻译,解释,例句

toeplitz matrix

toeplitz matrix的基本解释
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托普利兹矩阵

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Therefore, in order to offer reference to readers, the paper systematically expound and prove the eigenvalue of special matrix that base on idempotent matrix, antiidempotent matrix, involutory matrix, anntiinvolutory matrix, nilpotent matrix, orthogonal matrix, polynomial matrix, the shape of , matrix, diagonal matrix, invertidle matrix, adjoint matrix, similar matrix, transposed matrix, numerical matrix, companion matrix, and practicality and superiority of the achievement was showed by some examples.

为此本文系统地阐述幂等矩阵,反幂等矩阵,对合矩阵,反对合矩阵,幂零矩阵,正交矩阵,多项式矩阵,形为:,矩阵,对角矩阵,可逆矩阵,伴随矩阵,相似矩阵,转置矩阵,友矩阵一系列特殊矩阵的特征值问题并加以证明,并通过一些具体例子展示所得成果的实用性和优越性。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括:(1)对于对偶树二进制系数复数小波,利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法,作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法;(2)对于广义离散傅立叶变换与正弦变换对角化系统,提出了高效、快速的多重网格算法,理论上证明了算法的收敛性;(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构,验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质,从而建立基于小波变换求解Toeplitz系统的快速求解方法,运算量级控制在O,其中N为系统的阶。

Not every partial positive definite Toeplitz matrix has Toeplitz positive definite completion and not every par2 tial positive definite matrix which has positive definite completion has Toeplitz positive definite completion.

并不是所有的部分正定Toeplitz 矩阵都有Toeplitz 正定完成,也并不是每个有正定完成的部分正定矩阵都有 Toeplitz 正定完成。

更多网络解释 与toeplitz matrix相关的网络解释 [注:此内容来源于网络,仅供参考]

toeplitz matrix:托普利兹矩阵

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toeplitz matrix:特氏矩阵

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toeplitz matrix:托布里兹矩阵

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toeplitz matrix:特普立兹矩阵

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