background: photon attenuation as an inevitable physical phenomenon influences on the diagnostic information of spect images and results to errors in accuracy of quantitative measurements. this can be corrected via different physical or mathematical approaches. as the correction equation in mathematical approaches is nonlinear, in this study a new method of linearization called ‘piece wise line...

Often they are high-dimensional expected values: Example: In 1995 Traub and Paskov computed values of ‘mortgage-backed obligations’. In the USA people buying a house borrow money from a bank. In return, the bank holds a ’mortgage’. US mortgages last for 30 years, and may be repaid at the end of any month, making 30 × 12 = 360 repayment possibilities. The monthly change in the interest rate is t...

Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving non-linear Troesch’s problem. In first approach, by expressing unknown solution and its second derivative in terms of matrix form along with some collocation points, governing equation transforms into a algebraic equation. technique quasi-linearization is employed to linea...

In this report, we propose a new partitioned variable metric method for minimizing nonsmooth partially separable functions. After a short introduction, the complete algorithm is introduced and some implementation details are given. We prove that this algorithm is globally convergent under standard mild assumptions. Computational experiments given confirm efficiency and robustness of the new met...

A model is proposed for addressing investment risk of the free reserve, in the form of credit or currency risk. This risk is expressed by a constant factor α that represents the recovery rate of a bond or a devaluation factor. Securitization (e.g. with a CAT-bond like product) yields a constant amount K upon such an event. The model equation is an integro-differential equation with deviating ar...

The two control design methods for stabilizing discrete time systems are based on the notion of exact linearization with diffemorphism and feedback. On the one hand, the first method consists in developing a polynomial control law based on the exact linearization approach. This approach was developed by considering the concept of relative degree. On the other hand, the second method is based on...

This paper proposes a novel global-to-local nonrigid brain MR image registration to compensate for the brain shift and the unmatchable outliers caused by the tumor resection. The mutual information between the corresponding salient structures, which are enhanced by the joint saliency map (JSM), is maximized to achieve a global rigid registration of the two images. Being detected and clustered a...