Truncated-Newton algorithm for three-dimensional electrical impedance tomography

M A  Player; J  van Weereld; A R  Allen; D A L  Collie

Truncated-Newton algorithm for three-dimensional electrical impedance tomography

M A Player
, J van Weereld
, A R Allen
, D A L Collie

Research output: Contribution to journal › Article

Abstract

A truncated-Newton algorithm for three-dimensional electrical impedance tomography is presented. Explicit formation of the Hessian, normally a computational bottleneck, is avoided through use of a preconditioned conjugate gradient (PCG) solution of the Levenberg-Marquardt update. The PCG preconditioner is formed as a product of a sparse approximation of the Jacobian by its transpose.

Original language	English
Pages (from-to)	2189-2191
Number of pages	3
Journal	Electronics Letters
Volume	35
Publication status	Published - 1999

Keywords

RESISTANCE TOMOGRAPHY

Cite this

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title = "Truncated-Newton algorithm for three-dimensional electrical impedance tomography",

abstract = "A truncated-Newton algorithm for three-dimensional electrical impedance tomography is presented. Explicit formation of the Hessian, normally a computational bottleneck, is avoided through use of a preconditioned conjugate gradient (PCG) solution of the Levenberg-Marquardt update. The PCG preconditioner is formed as a product of a sparse approximation of the Jacobian by its transpose.",

keywords = "RESISTANCE TOMOGRAPHY",

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year = "1999",

language = "English",

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pages = "2189--2191",

journal = "Electronics Letters",

issn = "0013-5194",

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T1 - Truncated-Newton algorithm for three-dimensional electrical impedance tomography

AU - Player, M A

AU - van Weereld, J

AU - Allen, A R

AU - Collie, D A L

PY - 1999

Y1 - 1999

N2 - A truncated-Newton algorithm for three-dimensional electrical impedance tomography is presented. Explicit formation of the Hessian, normally a computational bottleneck, is avoided through use of a preconditioned conjugate gradient (PCG) solution of the Levenberg-Marquardt update. The PCG preconditioner is formed as a product of a sparse approximation of the Jacobian by its transpose.

AB - A truncated-Newton algorithm for three-dimensional electrical impedance tomography is presented. Explicit formation of the Hessian, normally a computational bottleneck, is avoided through use of a preconditioned conjugate gradient (PCG) solution of the Levenberg-Marquardt update. The PCG preconditioner is formed as a product of a sparse approximation of the Jacobian by its transpose.

KW - RESISTANCE TOMOGRAPHY

M3 - Article

SN - 0013-5194

VL - 35

SP - 2189

EP - 2191

JO - Electronics Letters

JF - Electronics Letters

ER -

Truncated-Newton algorithm for three-dimensional electrical impedance tomography

Abstract

Keywords

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