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This paper derives a theorem of generalized singular value decomposition of quaternion matrices(QGSVD),studies the solution of general quaternion matrix equation AXB-CYD=E,and obtains quaternionic Roth's theorem.This paper also suggestssufficient and necessary conditions for the existence and uniqueness of solutions and explicit forms of the solutions of the equation. 相似文献
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四元数矩阵方程AXAH=B的最小二乘解 总被引:6,自引:2,他引:6
引入了四元数矩阵范数的概念,通过使用四无数矩阵的奇异值分解,给出了四元数矩阵方程AXA^H=B在最小二乘意义下的Hermitian解以及Skew-Hermitian解. 相似文献
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证明了如何选取矩阵X,Y和Z使得下面的分块矩阵(AXYZ)取得它的极大秩和极小秩,这里A∈C~(m×n)是一个已知矩阵,X∈C~(m×k),Y∈C~(p×n)和Z∈C~(p×k)是三个任意矩阵. 相似文献
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缺氧是包括肿瘤在内的许多疾病的重要特征,利用缺氧条件来选择性抑制肿瘤生长和演进是一个很有前途的研究方向。随着缺氧诱导因子-1(HIF-1)的发现,在过去15年里在分子和细胞水平上对缺氧有了更加深刻的认识,HIF-1是真核细胞在缺氧条件下进行代谢调控的关键因子,控制众多基因的表达,影响氧的转运、糖摄取、糖酵解和血管生成等。下调HIF-1水平可以作为肿瘤治疗手段。由于细胞内对HIF-1的调控主要通过其α亚基进行,HIF-1α抑制剂成为抗肿瘤药物的研究热点,已经发现的该类抑制剂包括喜树碱类、喹噁啉类、雷帕霉素类、一些甾体化合物、苯氧乙酰氨基苯甲酸类以及白藜芦醇和橙皮苷等天然物质。本文就HIF-1α的结构、功能和以其为靶点的抗肿瘤药物的研究进展做一综述。 相似文献
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In the effective mass approximation, using the variational technology and a method of expanding the wavefunctions of exciton in terms of the eigenfunctions of the noninteracting electron-hole system, we calculate the exciton and biexciton ground state binding energies for rectangular quantum dots (QDs). In the calculation, a three-dimensional Fourier expansion of Coulomb potential is used to remove the numerical difficulty with the 1/r singularity, and it considerably reduces the computational effort. Our results agree fairly well with the previous results. It is found that the binding energies are highly correlated to the size of QDs. The quantum confinement effect of spherical QDs about biexciton is obviously larger than that of rectangular QDs when the well width is narrower than 2.0αB. 相似文献
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Using analytical expressions for the polarization field in GaN quantum dot, and an approximation by separating the potential into a radial and an axial, we investigate theoretically the quantum-confined Stark effects. The electron and hole energy levels and optical transition energies are calculated in the presence of an electric field in different directions. The results show that the electron and hole energy levels and the optical transition energies can cause redshifts for the lateral electric field and blueshifts for the vertical field. The rotational direction of electric field can also change the energy shift. 相似文献
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矩阵方程组AX=C,XB=D的公共最小二乘解 总被引:1,自引:0,他引:1
通过使用矩阵秩方法,我们给出了矩阵方程组AX =C,XB =D的公共最小二乘解的通解表达式,以及公共最小二乘解的极大秩和极小秩. 相似文献