Algorithm with guaranteed accuracy for computing a solution to an initial value problem for linear difference equations

Autor:	Vaskevich, Vladimir, Bulgak, Haydar, Çinar, Cengiz
Jazyk:	angličtina
Rok vydání:	2000
Předmět:	Simultaneous linear difference equations Eşzamanlı doğrusal fark denklemleri Initial value problems Discrete asymptotically stable matrices Doğruluğu kesin olan algoritmalar Algorithms with guaranteed accuracy Başlangıç değer problemleri Ayrık asimptotik olarak kararlı matrisler
Popis:	Consider an initial value problem for simultaneous linear difference equations x(n+1) = Ax(n) + f(n), x(0) = a, withA theNN rational matrix, {f(n)} a sequence ofN-dimensional rational vectors, anda a rationalN-dimensional vector. The problem has a unique solution; but to compute {x(n)} in the interval [0,M] withM a nonnegative integer, we approximate the reals and carry out the elementary arithmetic operations in special way. By means of this algorithm, we solve the initial value problem for a discrete asymptotically stable matrixA with guaranteed accuracy.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od______4883::04531d694d9dd55df2b50bc5470d673b https://hdl.handle.net/20.500.12395/3402 Zobrazit plný text záznamu