The Bergman projection on a general bounded, smooth pseudoconvex domain in two complex variables need not be globally regular, that is, need not preserve the class of all functions that are smooth up to the boundary. In this article the construction of the worm domains is reviewed, with emphasis on those features relevant to their role as counterexamples to global regularity. Prior results, and...

Abstract In this paper an algebraic substructuring preconditioner is considered for nonconforming nite element approximations of second order elliptic problems in D domains with diagonal anisotropic di usion tensor Using a block Gauss elimination and a substructuring idea part of the unknowns is eliminated and the Schur complement obtained is preconditioned by a spectrally equivalent matrix Whe...

A classification of commutative integral domains consisting of ordinary differential operators with matrix coefficients is established in terms of morphisms between algebraic curves.

New solution method for the systems of linear equations in commutative integral domains is proposed. Its complexity is the same that the complexity of the matrix multiplication.

We survey currently available algorithms for computing with matrix groups over infinite domains. We discuss open problems in the area, and avenues for further development.

We present a number of determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration.

Note LOXL3 is part of the lysyl oxidase (LOX) family, the members of which are secreted extracellular matrix enzymes. LOXL3 contains a C-terminal region that is conserved in all five isoforms of this copper-dependent amine oxidase family. The domains included within this region are a copper-binding site, lysyl and tyrosine residues that form the lysyltyrosine-quinone cofactor (LTQ) and a cytoki...

Submit Manuscript | http://medcraveonline.com Abbreviations: ECM: Extracellular Matrix; GF: Growth Factors; MMPs: Matrix Metalloproteinases; LAMA1-5: Laminin Alpha1-5 (α1-5); LAMB1-3: Laminin Beta1-3 (β1-3); LAMC1-3: Laminin Gamma 1-3 (γ1-3); Laminin-111: Laminin Heterotrimeric Molecule Containing a single α1, β1, and γ1 chain; LE domains: Epidermal Growth Factor-like Domain; G Domain: Globular...

Many scientific computing algorithms (in various domains, such as weather prediction, structural analysis, or electrical network analysis) strongly rely on solving fundamental matrix computation problems (such as linear system solving, eigenvalue decomposition, singular value decomposition, matrix nearness problems, joint diagonalization of matrices...). These problems are often solved using it...

Deterministic recursive algorithms for the computation of matrix triangular decompositions with permutations like LU and Bruhat decomposition are presented for the case of commutative domains. This decomposition can be considered as a generalization of LU and Bruhat decompositions, because they both may be easily obtained from this triangular decomposition. Algorithms have the same complexity a...