An algorithmic representation of fractional powers of positive operators

Numerical Functional Analysis and Optimization

Volumn 17, Issue 3-4, 1996, Pages 293-305

  Gavrilyuk, Ivan P ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042325916     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569608816695     Document Type: Article

References (8)

1. D.Z. Arov and I.P. Gavrilyuk, A method for solving initial value problems for linear differential equations in Hilbert space based on the Cayley transform, Numer. Funct. Anal. and Optimiz. 14(1993)5&6, 456-473.
2. H. Bateman and A. Erdelyi, Higher transcendental functions, Vol. 1, 2, McGraw-Hill Book Company, Inc., 1953.
3. R. Dautray and J.-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 3, Spectral Theory and Applications, Springer-Verlag, 1990.
4. J.A. Goldstein, Semigroups of Linear Operators and Applications, Oxford University Press - New York, Clarendon Press - Oxford, 1985.
5. S.G. Krein, Linear Differential Operators in Banach Spaces, Vol. 29, TAMS, New York, 1971.
6. A. Pazy, Semigroups of linear Operators and Applications to Partial Differential Equations, Springer-Verlag, 1983.
7. P.K. Suetin, Classical ortogonal polynomials, Nauka, Moscow, 1979 (Russian).
8. R.P. Tarasov, A quadratic root of a selfadjoint operator, and the Cauchy problem for elliptic-type equations, Differential equations 29(1993), No. 4, 564-573.