Splitting methods for the solution of systems of linear equations with singular matrices

This paper is concerned with the development of the “arithmetic mean method” for solving large sparse systems of linear equations when the coefficient matrix is a symmetric positive semidefinite matrix or a singular, irreducible M- matrix. This method has been applied for the computation of the minimal eigenpair of the generalized eigenproblem. The method of the arithmetic mean is well suited for parallel implementation on a multivector computer, such as the CRAY Y-MP

Metodi di decomposizione di operatori

In questa relazione si riassumono i contenuti di una serie di pubblicazioni e di rapporti tecnici relativi agli anni 1988-90, riguardanti il metodo della Media Aritmetica per la risoluzione di sistemi lineari di equazioni differenziali ordinarie, per la risoluzione di sistemi lineari di equazioni algebriche e come precondizionatore per il metodo dei gradienti coniugati

THE ARITHMETIC MEAN METHOD FOR SOLVING ESSENTIALLY POSITIVE SYSTEMS ON A VECTOR COMPUTER

--

SOLVING LARGE SYSTEMS OF LINEAR ORDINARY DIFFERENTIAL-EQUATIONS ON A VECTOR COMPUTER

none2---noneGALLIGANI I; V. RUGGIEROGalligani, I; Ruggiero, Valeri

The Arithmetic Mean Method for Solving Large Systems of Linear Ordinary Differential Equations on A Vector Computer

none2--noneI. Galligani; V. RuggieroI., Galligani; Ruggiero, Valeri

Numerical Solution of Equality-Constrained Quadratic Programming Problems on Vector-Parallel Computers

none2--noneI. Galligani; V. RuggieroI., Galligani; Ruggiero, Valeri