We derive closed-form expressions for the Jacobian of matrix exponential function both diagonalizable and defective matrices. The results are applied to two cases interest in macroeconometrics : a continuous-time macro model parameterization rotation matrices governing impulse response functions structural vector autoregressions .

sinc-galerkin method based upon double exponential transformation for solving troesch's problem was given in this study. properties of the sinc-galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.the error bound of the method was fo...

in this paper, some meteorological data, such as temperature, pressure and dew point temperature are used for extracting the atmospheric refractivity in different locations of iran. these data have been measured at different heights in twelve radiosonde sites of country by using meteorological balloons. the set of refractivity points obtained from data of each site are plotted as a function of ...