ODE Solvers for Computing Matrix Functions
Küçük Resim Yok
Tarih
2026
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mustafa UÇKUN
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study investigates the use of ordinary differential equation solvers to estimate the action of matrix functions on vectors. In addition, an evaluation is conducted to ascertain the degree of computational efficiency that is achieved by executing matrix factorisation prior to the implementation of ODE solvers. Three models are employed to analyse the computation of matrix functions acting on vectors, including fractional matrix powers, the matrix exponential, and matrix cosine functions. The performance of the improved Euler, Taylor, Runge–Kutta and Adams–Bashforth methods are compared within these models.
Açıklama
Anahtar Kelimeler
Numerical Analysis, Sayısal Analiz
Kaynak
Fundamentals of Contemporary Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
1
