1) rectangular quaternionic matrices
四元数长矩阵
1.
The simultaneous complex diagonalization(SCD) of two rectangular quaternionic matrices is introduced,moreover,SCD of a set of rectangular quaternionic matrices is also introduced,and some necessary and sufficient conditions for the existence of the SCD are derived.
利用四元数矩阵的奇异值分解(SVD),对两个四元数长矩阵给出了其同时复对角化的充要条件,进一步对一个四元数长矩阵集合,针对其同时复对角化问题,给出了一系列充分必要条件。
2) quaternion matrix
四元数矩阵
1.
Complex representation of the quaternion matrix equations and structure-preserving algorithm;
四元数矩阵方程的复转化及保结构算法
2.
Two categories solution of the quaternion matrix equation AX+YA=C and its optimal approximation;
四元数矩阵方程AX+YA=C的两种最佳逼近解
3.
Study of Solutions and Algorithms for Some Quaternion Matrix Equations;
几类四元数矩阵方程的解及其算法研究
3) quaternion matrices
四元数矩阵
1.
Quaternion and quaternion matrices have been applied in many fields, such as in quantum physics and computer graphics.
四元数和四元数矩阵在量子物理学、计算机图形学等许多领域得到了应用,但由于四元数的乘法不满足交换律,阻碍了对四元数矩阵的研究,尤其是关于四元数矩阵广义逆的讨论还不多。
2.
By using transformation,the decomposition of quaternion matrices is presented and the equality constrained least squares problem of quaternion matrices with complex presentation and decomposition is studied.
利用Givens′变换给出了四元数矩阵的OR分解,并利用复表示和OR分解解决了2-范数下的四元数矩阵的等式约束最小二乘问题。
3.
Quaternion matrices and quaternion matrix equations play important roles in quan- tum mechanics.
四元数矩阵与四元数矩阵方程在力学和工程问题的理论研究和实际数值计算中都起到重要的作用。
4) quaternionic matrix
四元数矩阵
1.
In recent 30 years, many experts and scholars were carrying on an extensive research about quaternionic matrix and got plenteous theoretical results.
近30年来,许多专家学者对四元数矩阵进行了广泛的研究,取得了丰硕的理论成果。
5) Quaternion Attitude Matrix
四元数姿态矩阵
6) real quaternion matrix
实四元数矩阵
1.
By the complex representation of the real quaternion matrix.
给出了实四元数矩阵正则对的广义右特征值的存在性和表达形式。
补充资料：长思仙 与刘处玄并示孟四元
【诗文】：
看阳刘。看阳刘。福杖心持占岸头。眠云枕逆流。万缘休。万缘休。金木相生性转柔。丹成赴十洲。
【注释】：
【出处】：
看阳刘。看阳刘。福杖心持占岸头。眠云枕逆流。万缘休。万缘休。金木相生性转柔。丹成赴十洲。
【注释】：
【出处】：
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条