Lanczos method for large-scale quaternion singular value decomposition
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Publication:2274168
DOI10.1007/s11075-018-0621-0OpenAlexW2900180351WikidataQ128970326 ScholiaQ128970326MaRDI QIDQ2274168
Guang-Jing Song, Zhi-Gang Jia, Michael Kwok-Po Ng
Publication date: 19 September 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-018-0621-0
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- A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
- Real structure-preserving algorithms of Householder based transformations for quaternion matrices
- A quaternion framework for color image smoothing and segmentation
- Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations
- Jacobi method for quaternion matrix singular value decomposition
- A new real structure-preserving quaternion QR algorithm
- A quaternion QR-algorithm
- A new structure-preserving method for quaternion Hermitian eigenvalue problems
- A Singular Value Thresholding Algorithm for Matrix Completion
- Hypercomplex Fourier Transforms of Color Images
- Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
- An Implicitly Restarted Refined Bidiagonalization Lanczos Method for Computing a Partial Singular Value Decomposition
- Low-Rank Matrix Approximation Using the Lanczos Bidiagonalization Process with Applications
- Calculating the Singular Values and Pseudo-Inverse of a Matrix
- Augmented Implicitly Restarted Lanczos Bidiagonalization Methods
- Quaternions and matrices of quaternions