An algorithmic representation of fractional powers of positive operators

DOI10.1080/01630569608816695zbMath0860.47011OpenAlexW2097843829MaRDI QIDQ4714540

Ivan P. Gavrilyuk

Publication date: 8 April 1997

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816695

zbMATH Keywords

fractional powers of operatorscontractive operatorsoperators with uniformly bounded powerspolynomial for unbounded operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60)

Related Items (9)

Data-sparse approximation to the operator-valued functions of elliptic operator ⋮ The Cayley Transform as a Time Discretization Scheme ⋮ Weighted estimates for boundary value problems with fractional derivatives ⋮ Numerically solving an equation for fractional powers of elliptic operators ⋮ Exact and approximate solutions of some operator equations based on the Cayley transform ⋮ Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation ⋮ Exponentially convergent method for the approximation of a differential equation with fractional derivative and unbounded operator coefficient in a Banach space ⋮ Numerical approximation of fractional powers of elliptic operators ⋮ Approximations of the Mittag-Leffler operator function with exponential accuracy and their applications to solving evolutionary equations with fractional time derivative

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform
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