Computation of matrix nth roots and the matrix sector function

Mohammed A Hasan; Ali A. Hasan; Khaled B. Ejaz

Computation of matrix nth roots and the matrix sector function

Mohammed A Hasan, Ali A. Hasan, Khaled B. Ejaz

Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

Abstract

Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented in this paper. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigendecomposition of a given matrix.

Original language	English (US)
Pages (from-to)	4057-4062
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
State	Published - Dec 1 2001
Event	40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: Dec 4 2001 → Dec 7 2001

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abstract = "Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented in this paper. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigendecomposition of a given matrix.",

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AU - Hasan, Mohammed A

AU - Hasan, Ali A.

AU - Ejaz, Khaled B.

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Y1 - 2001/12/1

N2 - Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented in this paper. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigendecomposition of a given matrix.

AB - Several linear and higher order methods to compute nth roots of a given real or complex matrix are presented in this paper. These include Newton-like, subspace, and Krylov type methods. As a special case, the matrix sector function and other roots of an identity matrix are computed and shown to be an efficient numerical tool for computing a block eigendecomposition of a given matrix.

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M3 - Conference article

AN - SCOPUS:0035706818

SN - 0191-2216

VL - 5

SP - 4057

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 40th IEEE Conference on Decision and Control (CDC)

Y2 - 4 December 2001 through 7 December 2001

ER -

Computation of matrix nth roots and the matrix sector function

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