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A New Complex Structure-Preserving Quaternion Implicit Double Shift QR Algorithm
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DOI：10.1007/s00006-025-01424-4.png)
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Abstract
En 中文
In this paper, we study an effective algorithm for the Schur decomposition of a quaternion matrix. Firstly, we give a complex structure-preserving algorithm for the Hessenberg decomposition of a quaternion matrix by Householder transformation. Secondly, we implement the implicit double shift QR strategy on the obtained Hessenberg matrix, and design the corresponding complex structure-preserving algorithm. Moreover, the effectiveness of the newly proposed algorithm is verified by numerical experiments. At last, the proposed algorithm is used to deal with a blind color image watermarking problem.
Keywords:
Schur decomposition
Hessenberg decomposition
Implicit double shift QR algorithm
Complex structure-preserving algorithm
Blind color image watermarking
Journal
A
IF:
1.2
Papers:
39
Citations:
0