### 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 |
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Pages (from-to) | 2189-2191 |

Number of pages | 3 |

Journal | Electronics Letters |

Volume | 35 |

Publication status | Published - 1999 |

### Keywords

- RESISTANCE TOMOGRAPHY

### Cite this

*Electronics Letters*,

*35*, 2189-2191.

**Truncated-Newton algorithm for three-dimensional electrical impedance tomography.** / Player, M A ; van Weereld, J ; Allen, A R ; Collie, D A L .

Research output: Contribution to journal › Article

*Electronics Letters*, vol. 35, pp. 2189-2191.

}

TY - JOUR

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

VL - 35

SP - 2189

EP - 2191

JO - Electronics Letters

JF - Electronics Letters

SN - 0013-5194

ER -