Most of the existing color image watermarking schemes are designed to mark each color
channel individually, which ignores the correlation of different color channels and the …

A new joint diagonalization algorithm for a pair of Hermitian quaternion matrices is derived
incorporating real structure-preserving strategy. The structure-preserving joint …

Singular value decomposition plays a prominent role in the theoretical study and numerical
calculation of a quaternion matrix in applied sciences. This paper, by means of a complex …

The two-dimensional principal component analysis (2DPCA) has been one of the basic
methods of developing artificial intelligent algorithms. To increase the feasibility, we propose …

This paper proposes a robust dual-color watermarking based on quaternion singular value
decomposition (QSVD), which can embed large payloads into color images with low …

In this paper, based on the Gauss transformation of a quaternion matrix, we study the full
rank decomposition of a quaternion matrix, and obtain a direct algorithm and complex …

The low-rank approximation of a quaternion matrix has attracted growing attention in many
applications including color image processing and signal processing. In this paper, based …

In this paper, we investigate the Arnoldi method of the right eigenvalue problem of the large-
scale quaternion matrices. We use the real structure-preserving rather than the quaternion …

The quaternionic Schrödinger equation∂∂ t| f⟩=-A| f⟩ is the crucial part of the study of
quaternionic quantum mechanics and plays indispensable roles in related fields. One of the …

Matrix decompositions play a prominent role in the theoretical study and numerical
calculation of split quaternion mechanics. This paper, by means of a complex representation …