Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices

DOI10.1137/19M1307329MaRDI QIDQ5150831

Weiyang Ding, Guang-Jing Song, Michael Kwok-Po Ng

Publication date: 15 February 2021

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15138

zbMATH Keywords

manifoldslow-rank approximationpure quaternion matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Related Items (8)

Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss ⋮ Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications ⋮ A new complex structure-preserving method for QSVD ⋮ Structure Preserving Quaternion Biconjugate Gradient Method ⋮ Quasi non-negative quaternion matrix factorization with application to color face recognition ⋮ Randomized low rank approximation for nonnegative pure quaternion matrices

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