When the roots are complex numbers—λ1=p+qi and λ2=p−qi, where p and q are real numbers—the two corresponding solutions of the differential equation ay″+by′+cy=0 are y1(t)=e(p+qi)t and y2(t)=e(p−qi)t. At this point, a crucial fact to know is Euler's formula,...
The mentioned coupled linear matrix equations contain the unknown complex matrix groups \\(X=(X_1,X_2,\\ldots ,X_q)\\) and \\(Z=(Z_1,Z_2,\\ldots ,Z_q)\\) . The conjugate and transpose of the unknown matrices \\(X_i\\) and \\(Z_i\\) , \\(i\\in I[1,q]\\) ...
Σ∼InverseWishart(Ω,ν), where Ω is the 2-by-2 scale matrix and ν is the degrees of freedom. Create a semiconjugate prior model for the 2-D VARX(1) model parameters. Get numseries = 2; numlags = 1; numpredictors = 1; PriorMdl = semiconjugatebvarm(numseries,numlags,'Num...
下面开始,我就当作你已经学过线性代数(linear algebra),对矩阵乘法(matrix multiplication)和线性无关(linear independence)等概念都很熟悉,尽管那些特征值特征向量什么的可能已经不太记得了。我会尽量清楚地讲解CG的概念。 2. Notation(标记) ∙ \bullet ∙除了一些特例,这里一般用大写字母表示矩阵(matrix),小写字...
An efficient algorithm for the least-squares reflexive solution of the matrix equation A1XB1=C1, A2XB2=C2 Summary: Computing $l$-isogenies between elliptic curves defined over a finite field ${\\\bbfF}_q$ of small characteristic is of some importance for the computation of the cardinalities...
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Σ∼InverseWishart(Ω,ν), where Ω is the 2-by-2 scale matrix and ν is the degrees of freedom. Create a semiconjugate prior model for the 2-D VARX(1) model parameters. Get numseries = 2; numlags = 1; numpredictors = 1; PriorMdl = semiconjugatebvarm(numseries,numlags,'Num...
The Bayesian VAR model object semiconjugatebvarm specifies the joint prior distribution of the array of model coefficients Λ and the innovations covariance matrix Σ of an m-D VAR(p) model. The joint prior distribution (Λ,Σ) is the independent, normal-inverse-Wishart semiconjugate model. In...
(several days). Nevertheless it is expedient to use a pharmaceutical composition for the local application of the hedgehog conjugates according to the invention which contains the conjugate according to the invention together with a carrier matrix. The carrier matrix essentially serves to facilitate the...
In this study, we consider the iteration solutions of the generalized coupled Sylvester-conjugate matrix equations:A1X+B1Y=D1XE1+F1,A2Y+B2X=D2YE2+F2,whereXandYdenote the conjugation ofXandY, respectively. We propose a modified conjugate gradient method and give the convergence analysis based on ...