Showing papers by "Fu Jen Catholic University published in 1984"
01 Jan 1984
TL;DR: It is shown that the simplifications of Jea and Young (1983) can be used to derive three alternative forms of the Lanczos method, and a theoretical basis is given for choosing one of the forms in preference to the other two more frequently used forms.
Abstract: The object of this paper is to describe some recent work which has been done at The University of Texas at Austin and elsewhere on the development of procedures for accelerating nonsymmetrizable iterative methods. Approaches which we discuss include the use of the GCW method of Concus and Golub (1976) and of Widlund (1978), the use of the normal equations and related equations, Chebyshev acceleration, and some generalized CG acceleration procedures. Normally, the generalized CG acceleration procedures, in their idealized form, are too expensive in terms of computer time and storage for practical use. In the symmetrizable case the formulas simplify since many of the terms vanish. In some nonsymmetrizable cases, it is possible to achieve similar simplifications. We describe work on such simplifications done by Jea (1982) and Jea and Young (1983) as well as work of Faber and Manteuffel (1983). We also show that the simplifications of Jea and Young (1983) can be used to derive three alternative forms of the Lanczos method (see Lanczos (1950, 1952)). A theoretical basis is given for choosing one of the forms in preference to the other two more frequently used forms.
5 citations
Abstract: The thought of Bernard Lonergan provides an epistemological position that is both true to the exigencies of modern science and yet open to the possibility of God and revealed religion In this paper I outline Lonergan's “transcendental method,” which describes the basic pattern of operations involved in any act of human knowing, and discuss how Lonergan uses this cognitional theory as a basis for an epistemological position of critical realism Then I explain how his approach handles some philosophical problems raised by classical and modern science and show how his thought provides an intelligible link between the scientific and religious horizons
3 citations
TL;DR: In this paper, the authors give temperature-dependent values of the cosmological constant Λ, the value Λ(2.7 K) of which is compatible with the present observational upper limit.
Abstract: Within the framework of inflationary cosmology, we give temperature-dependent values of the cosmological constant Λ, the value Λ(2.7 K) of which is compatible with the present observational upper limit. We find that the smallness of Λ is theoretically as well as phenomenologically natural.
3 citations
TL;DR: In this article, a simple and effective preparation of enamines from bulky ketones and secondary amines has been achieved with the aid of Lewis acid on various solid supports, and the optimized yields were higher than those obtained without the solid support.
Abstract: A simple and effective preparation of enamines from bulky ketones and secondary amines has been achieved with the aid of Lewis acid on various solid supports. The optimized yields were higher than those obtained without the solid support. Factors affecting the yield and regioselectivity of these reactions were also studied. Evidence showed that the reaction proceeded simultaneously in solution and on the solid support.
3 citations