摘要:

In this paper we develop stochastic projectional schemes for constructing measurable approximations to solutions or least-squares solutions of linear random operator equations. Both operators with closed range and with non-closed range are considered.

ISSN:0163-0563    

DOI:10.1080/01630567908816029

出版商:Marcel Dekker, Inc.    

年代:1979

数据来源: Taylor

摘要:

This paper is concerned with existence in L1for a control problem with a lower semicontinuous cost functional associated with a general linear process of causal type in Banach space.

ISSN:0163-0563    

DOI:10.1080/01630567908816030

出版商:Marcel Dekker, Inc.    

年代:1979

数据来源: Taylor

摘要:

Approximations to the Moore-Penrose generalized inverse are obtained via iteration in the application of regularization. Uniform error bounds are obtained for linear operators with closed range. For operators with arbitrary range pointwise error estimates are derived assuming certain smoothness conditions on the data. The stability of the iteration is considered and error bounds are obtained for“noisy”data.

ISSN:0163-0563    

DOI:10.1080/01630567908816031

出版商:Marcel Dekker, Inc.    

年代:1979

数据来源: Taylor

摘要:

Minimization of a functional under equality constraints is viewed as a particular case of minimization over a manifold. Using tools from Differential Geometry we formulate a Conjugate Gradient method and prove its convergence. The global behaviour of the algorithm is also studied. From these “idealized” algorithms working on a manifold, we then deduce practical methods with comparable convergence rates. We have used these methods to solve “Nonlinear eigenvalue problems” numerically.

ISSN:0163-0563    

DOI:10.1080/01630567908816032

出版商:Marcel Dekker, Inc.    

年代:1979

数据来源: Taylor

摘要:

In this note, we show that in the Rayleigh-Ritz discretization for nonlinear two-point boundary value problems, if the coordinate functions are almost orthonormal in the energy norm, then “near” the solution the condition numbers are bounded independent of the number of coordinate functions.

ISSN:0163-0563    

DOI:10.1080/01630567908816033

出版商:Marcel Dekker, Inc.    

年代:1979

数据来源: Taylor

ISSN:0163-0563    

DOI:10.1080/01630567908816028

出版商:Marcel Dekker, Inc.    

年代:1979

数据来源: Taylor