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Computational solution of nonlinear operator equations
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The article was published on 1969-01-01 and is currently open access. It has received 453 citations till now. The article focuses on the topics: Semi-elliptic operator & C0-semigroup.read more
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The calculation of posterior distributions by data augmentation
Martin A. Tanner,Wing Hung Wong +1 more
TL;DR: If data augmentation can be used in the calculation of the maximum likelihood estimate, then in the same cases one ought to be able to use it in the computation of the posterior distribution of parameters of interest.
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Generalized inverses: theory and applications
Adi Ben-Israel,T. N. E. Greville +1 more
TL;DR: In this paper, the Moore of the Moore-Penrose Inverse is described as a generalized inverse of a linear operator between Hilbert spaces, and a spectral theory for rectangular matrices is proposed.
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An incremental approach to the solution of snapping and buckling problems
TL;DR: In this paper, an incremental approach to the solution of buckling and snapping problems is explored, where the authors use the length of the equilibrium path as a control parameter, together with the second order iteration method of Newton.
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Interval analysis: theory and applications
Götz Alefeld,Günter Mayer +1 more
TL;DR: An overview on applications of interval arithmetic is given and verification methods for linear systems of equations, nonlinear systems, the algebraic eigenvalue problem, initial value problems for ODEs and boundary valueblems for elliptic PDEs of second order are discussed.
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Using randomization to break the curse of dimensionality
TL;DR: In this paper, random versions of successive approximations and multigrid algorithms for computing approximate solutions to a class of finite and infinite horizon Markovian decision problems (MDPs) were introduced.