Results 111 to 120 of about 3,636 (229)
Robust Bernoulli Mixture Models for Credit Portfolio Risk
ABSTRACT This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing in a common risk factor. We provide simple and interpretable conditions on conditional default probabilities that imply a comparison ...
Jonathan Ansari, Eva Lütkebohmert
wiley +1 more source
Computation of outer products of Schur functions
Title of program: SCHUR Catalogue Id: AAMJ_v1_0 Nature of problem To express the (outer) product of an arbitrary number of Schur functions as a linear combination of Schur functions.
Ömer Eǧecioǧlu (8090831)
core +2 more sources
Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane
In this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
N. Safaei, A. Barani
doaj +1 more source
Multiplication Rules for Schur and Quasisymmetric Schur Functions
An important problem in algebraic combinatorics is finding expansions of products of symmetric functions as sums of symmetric functions. Schur functions form a well-known basis for the ring of symmetric functions.
Anderson, Jennifer
core
Quadratic Forms of Skew Schur Functions
A quadratic identity for skew Schur functions is proved combinatorially by means of a nonintersecting path representation of skew column-strict plane partitions, for which the skew Schur function is a generating function.
Goulden, I.P.
core +1 more source
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source
Schur-Convexity of Two Types of One-Parameter Mean Values in
We establish Schur-convexities of two types of one-parameter mean values in variables. As applications, Schur-convexities of some well-known functions involving the complete elementary symmetric functions are obtained.
Zhang Zhi-Hua +2 more
doaj
Pfaffians and determinants for Schur Q-functions [PDF]
Schur Q-functions were originally introduced by Schur in relation to projective representations of the symmetric group and they can be defined combinatorially in terms of shifted tableaux.
Hamel, A. M.
core
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source
Action of W$W$‐type operators on Schur functions and Schur Q‐functions
AbstractIn this paper, we investigate a series of W‐type differential operators, which appear naturally in the symmetry algebras of KP and BKP hierarchies. In particular, they include all operators in the W‐constraints for tau‐functions of higher KdV hierarchies that satisfy the string equation. We will give simple uniform formulas for actions of these
Liu, Xiaobo, Yang, Chenglang
openaire +3 more sources

