The Conjugate Gradient Method as Applied to Electromagnetic Field Problems

Tapan K. Sarkar

doi:10.1109/MAP.1986.27867

The Conjugate Gradient Method as Applied to Electromagnetic Field Problems

Tapan K. Sarkar

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name "method of moments" are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.

Original language	English (US)
Pages (from-to)	4-14
Number of pages	11
Journal	IEEE Antennas and Propagation Society Newsletter
Volume	28
Issue number	4
DOIs	https://doi.org/10.1109/MAP.1986.27867
State	Published - Aug 1986

ASJC Scopus subject areas

Condensed Matter Physics
Electrical and Electronic Engineering

Access to Document

10.1109/MAP.1986.27867

Cite this

@article{1d740cf6b9274ada997a33490ade883e,

title = "The Conjugate Gradient Method as Applied to Electromagnetic Field Problems",

abstract = "The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name {"}method of moments{"} are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.",

author = "Sarkar, {Tapan K.}",

year = "1986",

month = aug,

doi = "10.1109/MAP.1986.27867",

language = "English (US)",

volume = "28",

pages = "4--14",

journal = "IEEE Antennas and Propagation Society Newsletter",

issn = "2168-0329",

number = "4",

}

TY - JOUR

T1 - The Conjugate Gradient Method as Applied to Electromagnetic Field Problems

AU - Sarkar, Tapan K.

PY - 1986/8

Y1 - 1986/8

N2 - The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name "method of moments" are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.

AB - The conjugate gradient method is developed for the solution of an arbitary operator equation. The fundamental differences between the conjugate gradient method and the conventional matrix methods, denoted by the generic name "method of moments" are also outlined. One of the major advantages of the conjugate gradient method is that a clearcut exposition on the nature of convergence can be defined. Numerical results are presented to illustrate the efficiency of this method and the FFT for certain special classes of problems.

UR - http://www.scopus.com/inward/record.url?scp=84941533147&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941533147&partnerID=8YFLogxK

U2 - 10.1109/MAP.1986.27867

DO - 10.1109/MAP.1986.27867

M3 - Article

AN - SCOPUS:84941533147

VL - 28

SP - 4

EP - 14

JO - IEEE Antennas and Propagation Society Newsletter

JF - IEEE Antennas and Propagation Society Newsletter

SN - 2168-0329

IS - 4

ER -

The Conjugate Gradient Method as Applied to Electromagnetic Field Problems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this