Solution of the equation $\left( {pz + q} \right)e^z = rz + s$
نویسندگان
چکیده
منابع مشابه
Iterative algorithm for the generalized $(P,Q)$-reflexive solution of a quaternion matrix equation with $j$-conjugate of the unknowns
In the present paper, we propose an iterative algorithm for solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} {underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$. By this iterative algorithm, the solvability of the problem can be determined automatically. When the matrix equation is consistent over...
متن کاملThe Lotka–Volterra equation over a finite ring Z/pZ
The discrete Lotka–Volterra equation over p-adic space was constructed since p-adic space is a prototype of spaces with non-Archimedean valuations and the space given by taking the ultra-discrete limit studied in soliton theory should be regarded as a space with the non-Archimedean valuations given in my previous paper (Matsutani S 2001 Int. J. Math. Math. Sci.). In this paper, using the natura...
متن کاملDerivation of a Q-schrr Odinger Equation on S Q-deformation of the Kinematical Algebra C 1 (s
Based on a q-deformation of the kinematical algebra C 1 (S 1) +Vect(S 1) a q-analog to the Borel quantization on S 1 is constructed. The resulting momentum operator is given in terms of q-derivatives. Via a generalized version of the Ehrenfest theorem it leads, together with the position operator, to a nonlinear q-diierence equation on the N-point discretization S 1 N of S 1. In the limit q ! 1...
متن کاملGlobal least squares solution of matrix equation $sum_{j=1}^s A_jX_jB_j = E$
In this paper, an iterative method is proposed for solving matrix equation $sum_{j=1}^s A_jX_jB_j = E$. This method is based on the global least squares (GL-LSQR) method for solving the linear system of equations with the multiple right hand sides. For applying the GL-LSQR algorithm to solve the above matrix equation, a new linear operator, its adjoint and a new inner product are dened. It is p...
متن کاملNumerical Solution of Heun Equation Via Linear Stochastic Differential Equation
In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1960
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1960-10469-7