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matrix multiplication是什么意思,matrix multiplication的意思翻译、用法、同义词、例句

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  • [数] 矩阵乘法

  • 例句

  • And we can reformulate this in terms of matrix multiplication or matrix product.

    我们可以用,矩阵乘法或矩阵乘积的形式来表述这些式子。

  • A new block cipher is designed where the diffusion of matrix multiplication is combined with the confusion of specially designed matrix operation to encrypt information.

    设计了一种新的分组密码算法,该算法利用矩阵乘法的扩散作用与专门设计的一种矩阵运算的混乱作用实现对信息的加密。

  • The inherent parallelism of matrix multiplication and Gauss Jordan elimination is discussed in this paper.

    研究了矩阵乘法和高斯约当消元法固有的并行性。

  • Walsh-Hadamard matrices with six different ordering are constructed recursively by using direct product and matrix multiplication.

    本文用直积和矩阵相乘的方法构造了六种不同的沃尔什-阿达马矩阵。

  • The experiment results on parallel matrix multiplication demonstrate that the response time of improved PVM is less than that of conventional PVM.

    在并行矩阵乘上的对照实验表明,改进的PVM具有更短的响应时间。

  • In this algorithm, which is matrix multiplication and perspective through the perspective divide step completed.

    在算法中它是通过透视矩阵乘法和透视除法两步完成的。

  • In computing the scattering fields, the determination of the T-matrix involves matrix multiplication and inversion, which consumes considerable time when the size of the particle is large.

    在散射场的计算中,T矩阵的计算涉及到矩阵的乘法和求逆,当粒子尺寸很大时,这两种矩阵运算特别是求逆将消耗大量的时间。

  • This paper proposes a modified method of FDCT sampling and quantity table of JPEG carrying out FDCT through fast matrix multiplication and sampling at the interface of MATLAB and C.

    文中就JPEG压缩算法中的采样,FDCT,量化表等做了进一步改进,即采用和MATLAB的接口来进行采样;采用快速的矩阵乘积来进行FDCT;

  • Multiple multi-value context variables would result in a matrix multiplication and are not supported.

    多个多值上下文变量将产生矩阵乘法,并且不受支持。

  • For me that matrix multiply this matrix multiplication say that I take one of that column and two of that column and add.

    对于我来讲,那个矩阵乘以这个矩阵表示我取一倍的那个列和两倍的那个列然后相加。

  • In this paper, the multipliers of final products in every department were calculated with the theory of input output and matrix multiplication, and their applications were also explained.

    应用投入产出理论及矩阵乘法计算各部门最终产品的乘数,并说明其应用方法。

  • Vector-matrix multiplication(VMM) is a computation which can be applied in a variety of fields, and optical vector-matrix multiplier(OVMM) can exert the parallel feature of optical processing.

    受到三值逻辑光学处理器结构的启发,提出用该处理器实现二进制向量矩阵乘法,这个新方法能够克服传统光学向量矩阵乘法器结构中存在的一些不足。

  • This code solves the problem of complex matrix multiplication, I hope all of you to help!

    此代码解决了复矩阵相乘的问题,希望对大家有所帮助!

  • This paper introduces the basic idea and algorithm of sparse Matrix multiplication by using incompact storage method.

    介绍了对稀疏矩阵进行压缩存储时,稀疏矩阵相乘运算的基本思想和算法。

  • Even though two-dimensional arrays are similar to matrices from linear algebra, operations (such as multiply) have nothing to do with the operations in linear algebra (such as matrix multiplication).

    虽然二维数组与线性代数中的矩阵类似,但是对它们的操作 (比如乘)与线性代数中的操作 (比如矩阵乘) 是完全不同的。

  • SUMMA matrix multiplication algorithm for parallel implementation, including the experimental results presentation.

    说明:矩阵相乘的SUMMA算法的并行实现,包含了实验结果演示。

  • The following matrix multiplication will perform the pair of transformations in the order listed.

    下列矩阵乘法将会依照列出来的顺序执行成对的转换。

  • On the basis of the multiprocessor platform, TMS320C80's programmable structure, the parallel matrix multiplication and parallel Gauss Jordan elimination algorithms are introduced.

    基于多处理机平台TMS32 0C80 (C80 ) ,提出并行矩阵乘法和并行高斯约当消元法。

  • How to use thread pool and message queues in Multithreaded Matrix Multiplication?

    如何使用线程池和多线程矩阵乘法的消息队列?

  • Matrix multiplication is one of the most important basic operations in numerical analysis, which is widely used in pattern recognition, image and signal processing.

    矩阵乘法是数值分析领域中一种十分常用的基本运算,被广泛应用于模式识别、图像和信号处理。

  • So that's matrix multiplication.

    ,好,这就是矩阵乘法。

  • The matrix multiplication is done in the order SRT, where S, R, and T are the matrices for scale, rotate, and translate, respectively.

    矩阵是按照SRT顺序进行相乘的,其中S、R和T分别表示缩放、旋转和平移的矩阵。

  • Enter the two sparse matrices can be realized, user-defined selection matrix multiplication mode and display the multiplication result.

    数据结构上机实验——矩阵相乘。可实现输入两稀疏矩阵,用户自定义选择矩阵相乘模式并显示相乘结果。

  • 专业解析

    矩阵乘法(Matrix Multiplication)是线性代数中的核心运算之一,指两个矩阵按照特定规则进行组合并生成新矩阵的过程。其定义和运算规则如下:

    1. 运算条件

      若矩阵$A$的维度为$m times n$(即$m$行$n$列),矩阵$B$的维度为$n times p$,则两矩阵可相乘,结果矩阵$C$的维度为$m times p$。若$A$的列数不等于$B$的行数,则乘法无定义[来源1]。

    2. 运算规则

      结果矩阵$C$中的每个元素$c{ij}$是$A$的第$i$行与$B$的第$j$列对应元素的乘积之和,数学表达为:

      $$ c{ij} = sum{k=1}^{n} a{ik} cdot b_{kj} $$

      该过程要求严格遵循“行乘列”的顺序[来源2]。

    3. 应用领域

      矩阵乘法在工程和科学中应用广泛,例如:

      • 计算机图形学:用于三维空间中的坐标变换(如旋转、缩放)[来源3]。
      • 机器学习:神经网络中的权重更新和特征映射计算依赖矩阵乘法[来源4]。
      • 电路分析:多端口网络参数的计算通过矩阵运算实现[来源1]。
    4. 数学性质

      矩阵乘法不满足交换律(即$AB eq BA$),但满足结合律和分配律。特殊矩阵(如单位矩阵)在乘法中起类似数字“1”的作用[来源2]。

    权威参考资料:

    网络扩展资料

    矩阵乘法(Matrix Multiplication)是线性代数中的核心运算,指两个矩阵按照特定规则相乘生成新矩阵的过程。以下是详细解释:

    一、定义与前提条件

    两个矩阵 ( A )(( m times n ) 维)和 ( B )(( n times p ) 维)相乘时,结果矩阵 ( C ) 的维度为 ( m times p )。前提是第一个矩阵的列数(( n ))必须等于第二个矩阵的行数(( n ))。

    二、计算规则

    结果矩阵 ( C ) 中每个元素 ( c{ij} ) 的计算公式为: $$ c{ij} = sum{k=1}^{n} a{ik} cdot b_{kj} $$ 即:取 ( A ) 的第 ( i ) 行与 ( B ) 的第 ( j ) 列对应元素相乘后求和。

    示例: 若 ( A = begin{bmatrix} 1 & 23 & 4 end{bmatrix} ),( B = begin{bmatrix} 5 & 67 & 8 end{bmatrix} ),则:

    三、重要性质

    1. 非交换性:( AB eq BA )(除非特殊情形)。
    2. 结合律:( (AB)C = A(BC) )。
    3. 分配律:( A(B + C) = AB + AC )。

    四、应用领域

    五、注意事项

    通过上述规则,矩阵乘法成为描述线性变换、解方程组等问题的关键工具。

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