矩阵链乘(Matrix Chain Multiplication) 输入n个矩阵的维度和一些矩阵链乘表达式,输出乘法的次数。如果乘法无法进行,则输出error。假定A是m*n矩阵,B是n*p矩阵,那么A*B是m*p矩阵,乘法次数为m*n*p。如果A的列数不等于B的行数,则乘法无法进行。 例如,A是50*10的,B是10*20的,C是20*5的,则(A(BC))的乘法...
The Matrix Chain Multiplication Problem is the classic example forDynamic Programming. If there are three matrices: A, B and C. The total number of multiplication for (A*B)*C and A*(B*C) is likely to be different. For example, if the dimensions for three matrices are: 2×3, 3×5,...
Matrix multiplication problem is a typical example of dynamical programming. Suppose you have to evaluate an expression like A*B*C*D*E where A,B,C,D and E arematrices. Since matrix multiplication is associative, the order in which multiplications areperformed is arbitrary. However, the number ...
信号链(Signal Chain)芯片 信号链一个系统中信号从输入到输出的路径。具体来说,信号链是对从信号采集(传感器)、信号处理(放大、缩小、滤波)、模数转换(A/D转换器)、到程序处理(微处理器)这一个信号处理过程的总称。由一个一个模块(芯片)组成一整条“链条”。 简单的说,所谓信号链芯片(就是Sensor+ADC+MCU)...
For example, let A be a 50*10 matrix, B a 10*20 matrix and C a 20*5 matrix. There are two different strategies to compute A*B*C, namely (A*B)*C and A*(B*C). The first one takes 15000 elementary multiplications, but the second one only 3500. ...
Matrix-chainmultiplication Matrix-chainmultiplication 问题描述 Input:{p0, p1 ,... , p n}. a chain {A1, A2,..., A n} of n matrices for i = 1, 2,...,n , matrix A i has dimension p i-1 * p i.值得注意的该问题的输⼊定义及其巧妙，不仅定义了矩阵的⾏以及列，还说明了它们是...
【UVA 442】Matrix Chain Multiplication 题解(栈) 假设您必须计算一个表达式,如ABCDE,其中A、B、C、D和E是矩阵。 由于矩阵乘法是关联的,所以执行乘法的顺序是任意的。 然而,所需的初等乘法的数量很大程度上取决于求值顺序 您可以选择。 例如,设A为5010矩阵,B为1020矩阵,C为205矩阵。有两个 计算ABC的不同...
[题目链接] 思路 核心问题是正确处理多个括号内矩阵的运算顺序,使用stack将矩阵存入,每当遇见字符 ' ) ' 时对栈顶的两个元素进行操作,便可以正确处理顺序。另使用结构...
Hi @willow-ahrens @kylebd99, I wanted to discuss a bit Matrix Chain Multiplication Python example that I'm working on. The Python implementation relies on lazy indexing, as tensordot is slow for other examples, like SDDMM. Here's Python ...
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