+b,t1X + b1,, (1) of a matrix A, where A = (aij) is an n X n matrix over the field of real numbers (or complex numbers) and I is the n X n identity matrix. Once P(X) is determined, the sought for eigenvalues X i, i = 1, 2,. . ., n, of A may be obtained ...
In this paper we consider the trace identities satisfied in a full matrix algebra of order n. For the case of a field of characteristic zero we prove that all trace identities are consequences of one obtained from the Hamilton-Cayley theorem. DOI: 10.1070/IM1974v008n04ABEH002126 被引量: ...
17.THE MULTINOMIAL EXPRESSION OF A CLASS OF SYMMETRICAL MATRIX CHARACTERISTIC EQUATION一类对称矩阵特征方程的多项式表示 18.On the trace and eigenvalues of the structure matrix of a graph图的结构矩阵的迹和特征值(英文) 相关短句/例句 eigen matrix特征矩阵 1.Investigation into forbidden band characteristic ...
Then, matrix equation of tolerance loop was put forward. Two simple examples were used to explain the condition of part assembly feasibility and assembly tolerance analysis process. Lastly, an example of engineering analyzing and computing was presented. 基于新一代产品的几何技术规范,分析了装配体的...
In the cases where an energy–momentum tensor (Tμν) can be constructed, a Hamiltonian H can be obtained through the identification H≡∫T00, and hence a possible representation (ψ) of the vacuum state will satisfy the Schrödinger equation H^ψ=Eψ, once H has been promoted to a qua...
Figure 1 (top panel) illustrates the result of plotting sensitivity (y-axis) against 1 − specificity (x-axis) for a set of values of the threshold, where each threshold value produces a confusion matrix. A random classifier will trace a straight line of slope 1 and intercept 0. The ...
Equating the exponents of M, L, K, and T on both sides, we obtained the following matrix–vector form: $$\left[ {\begin{array}{*{20}c} 1 & 0 & 1 & 0 \\ { - 2} & 0 & { - 3} & 0 \\ { - 1} & 0 & 0 & 1 \\ 0 & 1 & 0 & 0 \\ \end{array} } \right...
equation. The scalar functions � A and � B are the eigen v alues of A and B resp ectiv ely , asso ciated with the common eigen v ector. The main result in this pap er is the follo wing description of partial align- men t in terms of the c haracteristic structure. Theorem...
Section 4 constructs the payoff matrix and dynamic evolution equation for both sides of the game. In Section 5, Simulation experiments on the decision-making algorithm are carried out, sensitivity analysis of the main factors affecting vehicle lane changing is performed, vehicle trajectory and ...
The measurement rules of domestic airline passenger transport fares that continue to implement the government’s suggested price in the document are shown in Equation (1). For domestic passenger transport fares with market-adjusted prices, the fares published on the official website are directly used...