In this paper, I would like to present G.E. Moore’s view on Scepticism and certainty with reference his papers “Defence of common sense” “Proof an external world” “Certainty”. section following External World” the distinction between empirical objects human hand, shoes socks private images in dreams, double images, after toothache have been highlighted. It has pointed out that according Moore, ...

The recursive method for computing the generalized LM inverse of a constant rectangular matrix augmented by a column vector is proposed in [16, 17]. The corresponding algorithm for the sequential determination of the generalized LM -inverse is established in the present paper. We prove that the introduced algorithm for computing the generalized LM inverse and the algorithm for the computation o...

IBM’s TrueNorth neurosynaptic system provides an appealing platform for deploying numerical algorithms for ultra-low power, real time, and mobile applications. A recurrent Hopfield neural network is used to solve for the Moore-Penrose matrix pseudoinverse to solve a broad class of linear optimizations. The TrueNorth hardware platform is heavily constrained through weight quantization and severe...

We use the idea of two-point stepsize gradient methods, developed to solve unconstrained minimization problems on R, for computing least-squares solutions of a given linear operator equation on Hilbert spaces. Among them we especially pay attention to corresponding modification of the scalar correction method. An application of this approach is presented related to computation of {1, 3} inverse...