Victor O. WAZIRI and Sunday A. REJU (2007) Penalty Cost for One-Dimensional Energized Wave Equation

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Penalty Cost for One-Dimensional Energized Wave Equation

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CONTRIBUTORS:

	Author:	Victor O. WAZIRI
	Author:	Sunday A. REJU

JOURNAL:

Leonardo Journal of Sciences, 6(11), 109 - 112.

YEAR:

2007

PUB TYPE:

Journal Article

SUBJECT(S):

Penalty Cost; Hilbert Space; Extended Conjugate Gradient Method (ECGM)

DISCIPLINE:

Mathematics

HTTP:

http://ljs.academicdirect.org/A11/109_112.htm

LANGUAGE:

English

PUB ID:

103-439-844 (Last edited on 2008/01/06 03:54:49 US/Mountain)

SPONSOR(S):

ABSTRACT:
This paper constructs the penalty cost functional for optimizing the one-dimensional energized wave control operator. In some multiplier methods such as the Lagrange multipliers and Conjugate Gradient Method (CGM), the cost of augmenting the dynamical constraint equation into an unconstraint formulation involving an integral objective functional is guessed. The Extended Conjugate Gradient Method (ECGM) demands that the penalty cost functional be determined by computational procedure. The functional is completely given in terms space x and time dependent variable t.

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