A class for successive matrix products

版本 1.3.4 (13.7 KB) 作者: Matt J
A class representing products of matrices, internally storing/manipulating them separately.
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更新时间 2025/8/6

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This submission defines a class for representing products of matrices (or of any objects that know how to multiply) when it is more efficient to store and manipulate the matrices separately. Below is a basic example, but more can be found in the Examples tab.
N=6000;
u=rand(N,1);
v=rand(N,1);
x=rand(N,1);
Pmat=u*v.';
and let us also represent Pmat as a ProdCascade object.
P=ProdCascade({u,v.'});
Now, compare the execution time from multiplying with Pmat and its transpose,
tic;
y1=Pmat*x;
z1=Pmat.'*y1;
toc; %Elapsed time is 0.048516 seconds.
with the same operations using a ProdCascade representation,
tic
y2=P*x;
z2=P.'*y2;
toc %Elapsed time is 0.002752 seconds.
DISCAIMER: Error checking is never done to see whether the operators in a ProdCascade are compatible for successive multiplication.

引用格式

Matt J (2025). A class for successive matrix products (https://ww2.mathworks.cn/matlabcentral/fileexchange/29498-a-class-for-successive-matrix-products), MATLAB Central File Exchange. 检索时间: .

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@ProdCascade

@ProdCascade/private

版本 已发布 发行说明
1.3.4

Extended mrdivide & mldivide functionality to non-square matrices, but note that results are not guaranteed exact in this case.
1.3.3

Edit to Examples.mlx
1.3.2

Title change
1.3.1

* Added mldivide, mrdivide methods
* Added Examples.mlx
1.3.0.0

Edited the copywrite info. No new code.
1.1.0.0

Modified the description page. No new code to download.
1.0.0.0