Upper bounds for the many-channel Marchenko transformation operator and its derivatives

manifold optimization, Stiefel manifold, nonsmooth, proximal gradient method, iteration complexity, semismooth Newton method, sparse PCA, compressed modes.. AMS subject

Global existence of strong solutions to the compressible Navier–Stokes equations, with small initial data, in the presence of initial vacuum, was first proved by Huang, Li, and Xin [14]

Recently, the notion of memory-efficient represen- tations of the orthonormal basis matrices of the second-order and higher-order Krylov subspaces was generalized to the model order

Shu , Stability analysis and a priori error estimates to the third order explicit Runge-Kutta discontinuous Galerkin method for scalar conservation laws, SIAM J. Redistribution subject

Finally, we apply some spectral properties of M -tensors to study the positive definiteness of a class of multivariate forms associated with Z -tensors.. We propose an algorithm for

In the first set of testing, we present several numerical tests to show the sharpness of these upper bounds, and in the second set, we integrate our upper bound estimates into the

For the direct adaptation of the alternating direction method of multipliers, we show that if the penalty parameter is chosen sufficiently large and the se- quence generated has a cluster

For a nonsymmetric tensor F , to get a best rank-1 approximation is equivalent to solving the multilinear optimization problem (1.5).. When F is symmetric, to get a best rank-1

Then the scheme is extended to model wave propagation in heterogeneous media composed of metamaterials and free space, and extensive numerical results (using a rectangular edge element,

MATHEMATICAL ANALYSIS OF CARPET CLOAK 1137 simulate the cylindrical cloak proposed by Pendry, Schurig, and Smith [26], and we carried out some mathematical analysis for that model..

Boltzmann collision integral, spectral method, convolution, fast Fourier transform, Lebedev quadrature.. AMS subject

However, when it comes to signals with strong intrawave frequency modulation, some of these methods have difficulty in extracting the IMFs accurately, especially when the data are