The Mullineux involution is a relevant map that appears in the study of modular representations symmetric group and alternating group. fixed points this are certain partitions particular interest. It known cardinality set these self-Mullineux equal to distinguished subset self-conjugate partitions. In work, we give an explicit bijection between two families terms symbol.

We give two characterization theorems for pseudo-Hermitian (possibly nondiagonalizable) Hamiltonians with a discrete spectrum that admit a block-diagonalization with finite-dimensional diagonal blocks. In particular, we prove that for such an operator H the following statements are equivalent. 1. H is pseudo-Hermitian; 2. The spectrum of H consists of real and/or complex-conjugate pairs of eige...

Tbis paper describes a preconditioned conjugate gradient method tbat can be effectively implemented on both vector machines and parallel arrays to solve sparse symmetric and positive definite systema of linear equations. The implementation on the CYBER 203/205 and on tbe Finite Element Machine is discuased and result a obtained using the method on these machines are siven.

This communication reports morphological studies of a novel C(3)-symmetric thiolated, tren-based ditryptophan conjugate. The exposed thiol groups on the soft structures interacted with gold nanoparticles and mediated the release of encapsulated fluorescent dye, when exposed to natural sunlight.

This paper numerically compares different algebraic multilevel preconditioners to solve symmetric positive definite linear systems with the preconditioned conjugate gradient algorithm on a set of examples arising mainly from discretization of second order partial differential equations. We compare several different smoothers, influence matrices and interpolation schemes.

We consider the application of the conjugate gradient method to the solution of large symmetric, indefinite linear systems. Special emphasis is put on the use of constraint preconditioners and a new factorization that can reduce the number of flops required by the preconditioning step. Results concerning the eigenvalues of the preconditioned matrix and its minimum polynomial are given. Numerica...