[數] 矩陣乘法
And we can reformulate this in terms of matrix multiplication or matrix product.
我們可以用，矩陣乘法或矩陣乘積的形式來表述這些式子。
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.
設計了一種新的分組密碼算法，該算法利用矩陣乘法的擴散作用與專門設計的一種矩陣運算的混亂作用實現對信息的加密。
The inherent parallelism of matrix multiplication and Gauss Jordan elimination is discussed in this paper.
研究了矩陣乘法和高斯約當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.
本文用直積和矩陣相乘的方法構造了六種不同的沃爾什-阿達馬矩陣。
The experiment results on parallel matrix multiplication demonstrate that the response time of improved PVM is less than that of conventional PVM.
在并行矩陣乘上的對照實驗表明，改進的PVM具有更短的響應時間。
In this algorithm, which is matrix multiplication and perspective through the perspective divide step completed.
在算法中它是通過透視矩陣乘法和透視除法兩步完成的。
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.
在散射場的計算中，T矩陣的計算涉及到矩陣的乘法和求逆，當粒子尺寸很大時，這兩種矩陣運算特别是求逆将消耗大量的時間。
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壓縮算法中的采樣，FDCT，量化表等做了進一步改進，即采用和MATLAB的接口來進行采樣；采用快速的矩陣乘積來進行FDCT；
Multiple multi-value context variables would result in a matrix multiplication and are not supported.
多個多值上下文變量将産生矩陣乘法，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.
對于我來講，那個矩陣乘以這個矩陣表示我取一倍的那個列和兩倍的那個列然後相加。
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.
應用投入産出理論及矩陣乘法計算各部門最終産品的乘數，并說明其應用方法。
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.
受到三值邏輯光學處理器結構的啟發，提出用該處理器實現二進制向量矩陣乘法，這個新方法能夠克服傳統光學向量矩陣乘法器結構中存在的一些不足。
This code solves the problem of complex matrix multiplication, I hope all of you to help!
此代碼解決了複矩陣相乘的問題，希望對大家有所幫助！
This paper introduces the basic idea and algorithm of sparse Matrix multiplication by using incompact storage method.
介紹了對稀疏矩陣進行壓縮存儲時，稀疏矩陣相乘運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).
雖然二維數組與線性代數中的矩陣類似，但是對它們的操作 (比如乘)與線性代數中的操作 (比如矩陣乘) 是完全不同的。
SUMMA matrix multiplication algorithm for parallel implementation, including the experimental results presentation.
說明：矩陣相乘的SUMMA算法的并行實現，包含了實驗結果演示。
The following matrix multiplication will perform the pair of transformations in the order listed.
下列矩陣乘法将會依照列出來的順序執行成對的轉換。
On the basis of the multiprocessor platform, TMS320C80's programmable structure, the parallel matrix multiplication and parallel Gauss Jordan elimination algorithms are introduced.
基于多處理機平台TMS32 0C80 （C80 ） ，提出并行矩陣乘法和并行高斯約當消元法。
How to use thread pool and message queues in Multithreaded Matrix Multiplication?
如何使用線程池和多線程矩陣乘法的消息隊列？
Matrix multiplication is one of the most important basic operations in numerical analysis, which is widely used in pattern recognition, image and signal processing.
矩陣乘法是數值分析領域中一種十分常用的基本運算，被廣泛應用于模式識别、圖像和信號處理。
So that's matrix multiplication.
,好，這就是矩陣乘法。
The matrix multiplication is done in the order SRT, where S, R, and T are the matrices for scale, rotate, and translate, respectively.
矩陣是按照SRT順序進行相乘的，其中S、R和T分别表示縮放、旋轉和平移的矩陣。
Enter the two sparse matrices can be realized, user-defined selection matrix multiplication mode and display the multiplication result.
數據結構上機實驗——矩陣相乘。可實現輸入兩稀疏矩陣，用戶自定義選擇矩陣相乘模式并顯示相乘結果。
矩陣乘法（Matrix Multiplication）是線性代數中的核心運算之一，指兩個矩陣按照特定規則進行組合并生成新矩陣的過程。其定義和運算規則如下：
運算條件
若矩陣$A$的維度為$m times n$（即$m$行$n$列），矩陣$B$的維度為$n times p$，則兩矩陣可相乘，結果矩陣$C$的維度為$m times p$。若$A$的列數不等于$B$的行數，則乘法無定義[來源1]。
運算規則
結果矩陣$C$中的每個元素$c{ij}$是$A$的第$i$行與$B$的第$j$列對應元素的乘積之和，數學表達為：
$$ c{ij} = sum{k=1}^{n} a{ik} cdot b_{kj} $$
該過程要求嚴格遵循“行乘列”的順序[來源2]。
應用領域
矩陣乘法在工程和科學中應用廣泛，例如：
數學性質
矩陣乘法不滿足交換律（即$AB eq BA$），但滿足結合律和分配律。特殊矩陣（如單位矩陣）在乘法中起類似數字“1”的作用[來源2]。
權威參考資料：
矩陣乘法（Matrix Multiplication）是線性代數中的核心運算，指兩個矩陣按照特定規則相乘生成新矩陣的過程。以下是詳細解釋：
兩個矩陣 ( A )（( m times n ) 維）和 ( B )（( n times p ) 維）相乘時，結果矩陣 ( C ) 的維度為 ( m times p )。前提是第一個矩陣的列數（( n )）必須等于第二個矩陣的行數（( n )）。
結果矩陣 ( C ) 中每個元素 ( c{ij} ) 的計算公式為： $$ c{ij} = sum{k=1}^{n} a{ik} cdot b_{kj} $$ 即：取 ( A ) 的第 ( i ) 行與 ( B ) 的第 ( j ) 列對應元素相乘後求和。
示例： 若 ( A = begin{bmatrix} 1 & 23 & 4 end{bmatrix} )，( B = begin{bmatrix} 5 & 67 & 8 end{bmatrix} )，則：
通過上述規則，矩陣乘法成為描述線性變換、解方程組等問題的關鍵工具。
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