Approximating Runge-Kutta matrices by triangular matrices
نویسندگان
چکیده
منابع مشابه
Bit ? ? ( 199 ? ) , ? ? ? { ? ? ? . Approximating Runge { Kutta Matricesby Triangular
The implementation of implicit Runge{Kutta methods requires the solution of large systems of non-linear equations. Normally these equations are solved by a modiied Newton process, which can be very expensive for problems of high dimension. The recently proposed triangularly implicit iteration methods for ODE-IVP solvers 5] substitute the Runge{Kutta matrix A in the Newton process for a triangul...
متن کاملTRIANGULAR FUZZY MATRICES
In this paper, some elementary operations on triangular fuzzynumbers (TFNs) are defined. We also define some operations on triangularfuzzy matrices (TFMs) such as trace and triangular fuzzy determinant(TFD). Using elementary operations, some important properties of TFMs arepresented. The concept of adjoints on TFM is discussed and some of theirproperties are. Some special types of TFMs (e.g. pu...
متن کاملApproximating Orthogonal Matrices by Permutation Matrices
Motivated in part by a problem of combinatorial optimization and in part by analogies with quantum computations, we consider approximations of orthogonal matrices U by “non-commutative convex combinations”A of permutation matrices of the type A = P Aσσ, where σ are permutation matrices and Aσ are positive semidefinite n × n matrices summing up to the identity matrix. We prove that for every n× ...
متن کاملA method for approximating pairwise comparison matrices by consistent matrices
In several methods of multiattribute decision making, pairwise comparison matrices are applied to derive implicit weights for a given set of decision alternatives. A class of the approaches is based on the approximation of the pairwise comparison matrix by a consistent matrix. In the paper this approximation problem is considered in the least-squares sense. In general, the problem is nonconvex ...
متن کاملtriangular fuzzy matrices
in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...
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: BIT Numerical Mathematics
سال: 1997
ISSN: 0006-3835,1572-9125
DOI: 10.1007/bf02510217