Stability and Convergence of Product Formulas for Operator Matrices
نویسندگان
چکیده
منابع مشابه
Sharp Convergence Rates for Nonlinear Product Formulas
Nonlinear versions of the Lie-Trotter product formula exp[t(A + B)] = \im„^x[exp((t/n)A)exp((t/n)B)}" and related formulas are given in this paper. The convergence rates are optimal. The results are applicable to some nonlinear partial differential equations. 0. Introduction. The Lie-Trotter product formula states that (0.1) exp(^)exp(^)exp(^C e,(A + B+c) asn^oo. (The exponent n indicates itera...
متن کاملStability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.
متن کاملConvergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the co...
متن کاملFurther inequalities for operator space numerical radius on 2*2 operator matrices
We present some inequalities for operator space numerical radius of $2times 2$ block matrices on the matrix space $mathcal{M}_n(X)$, when $X$ is a numerical radius operator space. These inequalities contain some upper and lower bounds for operator space numerical radius.
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: Integral Equations and Operator Theory
سال: 2012
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-012-1994-4