Generalizing Frobenius inversion to quaternion matrices
type: Item
instance of: scholarly article
title: Generalizing Frobenius inversion to quaternion matrices
author: Qiyuan Chen
author: Jeffrey Uhlmann
author: Ke Ye
published in: Numerical Algorithms
publication date: 2024-08-21T00:00:00Z
Mathematics Subject Classification ID: 65-XX
zbMATH DE Number: 7899567
zbMATH Keywords: matrix inversion
zbMATH Keywords: quaternions
zbMATH Keywords: Frobenius algorithm
zbMATH Keywords: complexity analysis
MaRDI profile type: Publication
cites work: Q6147281
cites work: Q3255781
cites work: The geometry of spherical curves and the algebra of quaternions
cites work: Quaternions and the rotation of a rigid body
cites work: Q4331740
cites work: Q4848757
cites work: Matrix multiplication via arithmetic progressions
cites work: On the complexity of quaternion multiplication
cites work: The Quaternion Calculus
cites work: Polynomials Orthogonal over Discrete Domains
cites work: Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche.
cites work: On the composition of quadratic forms.
cites work: Lanczos method for large-scale quaternion singular value decomposition
cites work: Q3995493
cites work: Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation
cites work: Q3730448
cites work: Symmetry-breaking in the independent particle model: nature of the singular behavior of Hartree-Fock potentials
cites work: Q4047029
cites work: Rank and optimal computation of generic tensors
cites work: Relative bilinear complexity and matrix multiplication.
cites work: Quaternionic analysis
cites work: Properness and Widely Linear Processing of Quaternion Random Vectors
cites work: Vector Sparse Representation of Color Image Using Quaternion Matrix Analysis
cites work: Fast structured matrix computations: tensor rank and Cohn-Umans method
cites work: High dimensional inverse covariance matrix estimation via linear programming
cites work: Quaternions and matrices of quaternions
cites work: On inversion of complex matrices
DOI: 10.1007/S11075-023-01694-8
description: scientific article; zbMATH DE number 7899567