It often happens in matrix algebra that we need to both transpose and take the complex conjugate of a matrix. The result of the sequential application of these two operations is called conjugate transpose (or Hermitian transpose). Special symbols are used in the mathematics literature to denote t...
As usual, R denotes the field of real numbers, R" stands for the n-dimensional vector space over R, a prime denotes the transpose of a matrix, an asterisk denotes the complex conjugate transpose of a matrix, and P _ Q means that P — Q i... Vladimír,Kucera - 《Kybernetika》 被引...
Twitter Google Share on Facebook Hermitian conjugate Dictionary Wikipedia Related to Hermitian conjugate:Hermitian matrix [er′mish·ən ′kän·jə·gət] (mathematics) For a matrixA, the transpose of the complex conjugate ofA. Also known as adjoint; associate matrix. ...
SGEMTX and DGEMTX compute the matrix-vector product for the transpose of a real general matrix, using the scalarα, vectorsxandy, and the transpose of matrixA: y←y+αATx Table 1. Data Types Data Types α,β,x,y,ASubprogram Short-p...
I have seen a proof using the complex conjugate of an inner product <u|T|u> (u a vector and T an operator). Then in the proof it wrote the inner product as an integral, and then it wrote it equal to the whole integral conjugated with all the parts in it complex conjugated(so as...
x and y are row-based vectors of arbitrary lengths. This is a vectorized implementation of O(N*log(N)) flops. """lengthx = x.shape[0] lengthy = y.shape[0] x = np.reshape(x,(1,lengthx)) y = np.reshape(y,(1,lengthy)) ...
Also note that there is no formula similar to (4.8) for finding the product between the transpose of the Jacobian and a vector =-=[10]-=-. Among the Krylov subspace methods mentioned above both BCG 6 ERIK STERNER and QMR require the transpose and can thus only be used when the ...
Returns a ReportableQty that is the (element-wise in the vector case) difference between `constant_value` and this one given by: `1.0 - Re(conjugate(constant_value) * self )` """# let diff(x) = 1.0 - Re(const.C * x) = 1.0 - (const.re * x.re + const.im * x.im)# so ...
print_vector.cpp print_vector.h procrustes.cpp procrustes.h project.cpp project.h project_isometrically_to_plane.cpp project_isometrically_to_plane.h project_to_line.cpp project_to_line.h project_to_line_segment.cpp project_to_line_segment.h projection_constraint.cpp projection_constra...
import org.apache.commons.math3.geometry.euclidean.twod.Vector2D; import org.apache.commons.math3.linear.BlockRealMatrix; import org.apache.commons.math3.linear.RealMatrix; import org.apache.commons.math3.optim.PointValuePair; import org.apac...