EFFICIENT ITERATIVE SOLVERS FOR STOCHASTIC GALERKIN
... matrix is independent of h. (The analysis is performed for stochastically linear diffusion coefficients but it carries over to stochastically nonlinear diffusion coefficients.) The robustness with respect to σ and d can be improved using a “Kronecker product” preconditioner developed in [47]. ...
... matrix is independent of h. (The analysis is performed for stochastically linear diffusion coefficients but it carries over to stochastically nonlinear diffusion coefficients.) The robustness with respect to σ and d can be improved using a “Kronecker product” preconditioner developed in [47]. ...
Composition followed by differentiation between weighted Bergman-Nevanlinna spaces
... where X ≍ Y means that there is a positive constant C such that C −1 X ≤ Y ≤ CX. See [3] for more about weighted Bergman spaces and weighted Bergman-Nevanlinna spaces. By the subharmonicity of log(1 + |f (z)|), we have ||f ||A0λ (D) , z∈D ...
... where X ≍ Y means that there is a positive constant C such that C −1 X ≤ Y ≤ CX. See [3] for more about weighted Bergman spaces and weighted Bergman-Nevanlinna spaces. By the subharmonicity of log(1 + |f (z)|), we have ||f ||A0λ (D) , z∈D ...
Group-theoretic algorithms for matrix multiplication
... There must be an even number of factors of z among the three elements q1 , q2 , q3 . First, suppose there are none. We can write q1 q2 q3 as ...
... There must be an even number of factors of z among the three elements q1 , q2 , q3 . First, suppose there are none. We can write q1 q2 q3 as ...
HW 2
... preserved under conjugation, i.e. it is normal. Since f is an isomorphism of G/ ker f and H, this correspondence is bijective, and we are done. ...
... preserved under conjugation, i.e. it is normal. Since f is an isomorphism of G/ ker f and H, this correspondence is bijective, and we are done. ...
on h1 of finite dimensional algebras
... We recall these well known results in the next section. We consider the case where I is a “pre-generated” ideal, the definition is given at section 3. This includes the cases I = 0 whenever Q has no oriented cycles, any ideal of a narrow quiver, and some other cases. An explicit dimension formula fo ...
... We recall these well known results in the next section. We consider the case where I is a “pre-generated” ideal, the definition is given at section 3. This includes the cases I = 0 whenever Q has no oriented cycles, any ideal of a narrow quiver, and some other cases. An explicit dimension formula fo ...
