A_t_times_x_particle: Transpose matrix-vector multiplication for particle systems

In FastGaSP: Fast and Exact Computation of Gaussian Stochastic Process

Transpose matrix-vector multiplication for particle systems

Description

Performs the matrix-vector multiplication A^T*x for particle systems, where A is a sparse matrix stored only the non-zero entries

Usage

A_t_times_x_particle(output, A_all_v, num_neighbors_vec, D_y, N_tilde)

Arguments

output	A numeric vector containing the input vector for multiplication.
A_all_v	A numeric vector containing the interaction matrices in vectorized form.
num_neighbors_vec	An integer vector specifying the number of neighbors for each particle.
D_y	An integer specifying the dimension of the output vector per particle.
N_tilde	An integer specifying the total dimension of the output vector.

Value

Returns a numeric vector containing the result of the matrix-vector multiplication.

Author(s)

Mengyang Gu [aut, cre], Xinyi Fang [aut], Yizi Lin [aut] Maintainer: Mengyang Gu <[e-mail]>

References

Fang, X., & Gu, M. (2024). The inverse Kalman filter. arXiv:2407.10089.

FastGaSP documentation built on April 4, 2025, 5:16 a.m.