R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics (Springer-Verlag, New York, 1997) Google Scholar H. Flanders and H. K. Wimmer, On the matrix equation AX − XB = C and AX − YB = C, SIAM. J. Appl. Math. 32, 707 (1977). Article MATH MathSciNet Google Scholar P...
For instance, Piao, Zhang, and Wang [18] discussed the matrix equationAX+XTC=B.Xu [45] obtained an expression of the general solution to the generalized Lyapunov operator equationBXC+(BXC)∗=A.Wang and Dong [23] investigated the system of operator equationsA1X=D1,XB2=D2,A3XB3+B3∗...
1 Introduction The human body movement track technology has been widely used in the areas of virtual reality and game development. At present, the human body movement track technology is mainly on the basis of pattern recognition technology or on wearable equipment technology. The human body ...
Mutual positions of the sphere (centered at the point C) and of the stereographic plane. The point Q is the center of the logarithmic potential; Q is its antipodal point; V and V are the stereographic projections of, respectively Q and Q . The point subject to the force is P, whose ...
This is the first literature we know to use the term “cyclic associative law”. At the same time, Hosszu also used the term of “cyclic associative law” in the study of functional equation (see [5] and the introduction and explanation by Maksa [6]). Later, Kleinfeld [7] and Behn ...
proposed the single-plane chessboard calibration method, which does not require the use of high-precision 3D calibration objects; it has been widely applied [5,6]. Zhuang et al. put forward a method to transform matrix equation AX=𝑋𝐵AX=XB into 𝐴𝑋=𝑌𝐵AX=YB and used ...
According to Equation (1), the desired 2D angle output can be obtained by controlling the z-axis p3.oCsiatipoancsitoifveth-Seemnosonri-toBraisnegdp2oDinAtsnrgealedMbyonthiteotrhinregeUcanpitacitive sensors. 33..1C. Aapnaaclyitsiivseo-fSPerninsocirp-aBlaEsrerdor2D Angle Monitoring Unit 3.1...
The Principle of Coarse Alignment Based on the Inertial Frame The attitude matrix can be calculated by the following equation: The attitude matrix can be calculated by =the following equation: (1) According to the definition of the reClenbv=antCfneraCmee0eC, eb00Cbba0nd can be calculated as ...
The proposed method can also maintain the autonomy of the navigation system. Experimental results show that the proposed inertial-visual navigation system can mitigate the SINS drift and improve the accuracy, stability, and reliability of the navigation system. Keywords: autonomous vehicle; strapdown ...
Based on a hydrolysis reaction, a determination was made of the retention of activity of the immobilized lipase, found to be 92% of that of the native enzyme. Immobilization on a silica-lignin matrix produces systems with maximum activity at pH = 8 and at a temperature of 40 ◦C. The ...