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Kronecker Product Least Squares

2017/05/21 by Pranay Seshadri, Seshadri, Pranay
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Scientific Research and Discoveries #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.1705.08731

openalex publication_date 2017/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this rather brief note we present and discuss techniques for solving Kronecker matrix product least squares problems. Our main contribution is an iterative approach that uses the efficient Kronecker matrix-vector multiplication strategy (Fernandes et al. 1998) with a conjugate gradient solver. Numerical results contrast this approach---in terms of running times and accuracy---against the direct approach.

Citations

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