The classical absolute orientation method is capable of transforming tie points (TPs) from a local coordinate system to a global (geodetic) coordinate system. The method is based only on a unique set of similarity transformation parameters estimated by minimizing the total difference between all ground control points (GCPs) and the fitted points. Nevertheless, it often yields a transformation w...

let a; b; k 2 k and u ; v 2 u(k). we show for any idempotent e 2 k, ( a 0 b 0 ) is e-clean i ( a 0 u(vb + ka) 0 ) is e-clean and if ( a 0 b 0 ) is 0-clean, ( ua 0 u(vb + ka) 0 ) is too.

A Nevanlinna function is a function which is analytic in the open upper half plane and has a non-negative imaginary part there. In this paper we study a fractional linear transformation for a Nevanlinna function n with a suitable asymptotic expansion at ∞, that is an analogue of the Schur transformation for contractive analytic functions in the unit disc. Applying the transformation p times we ...

We develop the protocol for structural restoring of multi-quantum coherence matrices multi-qubit quantum state transferred from sender to receiver along a spin-1/2 chain. also propose constructing such 0-order matrix that can be perfectly in this process. The is based on specially constructed unitary transformation extended receiver.{This given length parameters chain universally optimal sense ...

\Numerical inverting of matrices of high order", Bull. Amer. 18 Rounding errors do grow rapidly with the problem size n. The nal columns in the table give averages and maxima of`relative errors' jb RBT i ? b i j j j b RBT j j 1 where the b i values are either the computed solution from LINPACK, or the exact solution. For poorly-conditioned problems the RBT has large roundoo errors, which are so...

In the independent component analysis (ICA) it is assumed that the components of the multivariate independent and identically distributed observations are linear transformations of latent independent components. The problem then is to find the (linear) transformation which transforms the observations back to independent components. In the paper the ICA is discussed and it is shown that, under s...