# Questions tagged [linear-algebra]

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I have implemented the Preconditioned Conjugate Gradient (PCG) method for solving a system of linear equations in Python and I would appreciate it if someone could verify its correctness since I am ...
156 views

### Python integer optimization with PuLP involving polynomials that I think can be faster

I have a problem where we are given multivariate polynomials in variables like y_i and z_j and the goal is to express them as sums of products of terms of the form y_i-z_j with nonnegative integer ...
18 views

### Efficiently computing a batch of results given a batch assignment vector and series of corresponding matrices

I have a 1D tensor of tokens that belong to different batches. The batch sizes here are uneven. Each batch needs to be multiplied with a corresponding weight matrix. My current approach is using a ...
442 views

### Generic matrix library in Java

I have this repository. The most important source files follow. com.github.coderodde.math.linear.matrix.AbstractMatrix.java: ...
53 views

### Implementing PLU Decomposition in Rust

I am using abstalg, because I wanted to learn more about how to do this with generic fields, (So you can implement LU decomposition not just for floats). I used ...
75 views

### An implementation of Givens method for diagonalising symmetric matrices

So I tried to create a code which aims to diagonalise symmetric matrices via Givens algorithm. The program only works for symmetric matrices, for we know a symmetric matrix is always diagonalisable, ...
298 views

### Matrix-vector multiplication with block-column distribution and MPI_Reduce_scatter

I'm studying MPI and I'm trying to solve the exercise (number 3.5) taken from Pacheco's book Introduction to parallel programming. Essentially the exercise is: Write an MPI program that computes the ...
165 views

### Yet another mathematical vector class

This is an implementation of a mathematical vector. I am currently working on a linear algebra project and before proceeding further with other classes (matrix, polar_vector etc.) I would like to have ...
216 views

### Coordinate Descent Non-negative Least Squares optimization

In my fast implementation of Non-negative Matrix Factorization (Rcpp Machine Learning Library, RcppML), about 40% of the runtime is spent solving Non-negative Least Squares (NNLS) systems (the rest of ...