circulant matrix
- circulant matrix的基本解释
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轮换矩阵
- 相似词
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When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.
当鳞状因子循环矩阵非奇异时,该快速算法求出线性方程组的唯一解;当鳞状因子循环矩阵奇异时,该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。
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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。
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A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.
首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法,然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法,最后给出了其反问题的最小二乘解的存在性定理及它的一般表示,并证明了逼近矩阵的存在唯一性且给出它的具体表达式。
- 更多网络解释 与circulant matrix相关的网络解释 [注:此内容来源于网络,仅供参考]
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circulant matrix:轮换矩阵
circulant 循环行列式 | circulant matrix 轮换矩阵 | circular 圆的
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circulant matrix:循环矩阵
循环卷积 circulant convolution | 循环矩阵 circulant matrix | 循环矩阵特征值 circulant matrix eigenvalue
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circulant matrix:循环方阵
"轮环行列式","circulant" | "循环方阵","circulant matrix" | "圆的;环状的","circular"
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block circulant matrix:分组循环矩阵
block circulant approximation | 分组循环近似法 | block circulant matrix | 分组循环矩阵 | block clear | 闭塞区间开通, 闭塞区段出清
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block circulant matrix:块循环矩阵
块加密 block ciphering | 块循环矩阵 block circulant matrix | 块码 block code
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