ON EIGENVALUES OF COMPLEX MATRICES IN A SECTOR.

B. D.O. Anderson; N. K. Bose; E. I. Jury

ON EIGENVALUES OF COMPLEX MATRICES IN A SECTOR.

B. D.O. Anderson^*, N. K. Bose, E. I. Jury

^*Corresponding author for this work

School of Engineering

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

35 Citations (Scopus)

Abstract

It is shown that the test to determine whether all eigenvalues of a complex matrix of order n lie in a certain sector can be replaced by an equivalent test to find whether all eigenvalues of a real matrix of order 4n lie in the left half plane.

Original language	English
Journal	IEEE Transactions on Automatic Control
Volume	AC-20
Issue number	3
Publication status	Published - 1975

Cite this

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title = "ON EIGENVALUES OF COMPLEX MATRICES IN A SECTOR.",

abstract = "It is shown that the test to determine whether all eigenvalues of a complex matrix of order n lie in a certain sector can be replaced by an equivalent test to find whether all eigenvalues of a real matrix of order 4n lie in the left half plane.",

author = "Anderson, \{B. D.O.\} and Bose, \{N. K.\} and Jury, \{E. I.\}",

year = "1975",

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AU - Anderson, B. D.O.

AU - Bose, N. K.

AU - Jury, E. I.

PY - 1975

Y1 - 1975

N2 - It is shown that the test to determine whether all eigenvalues of a complex matrix of order n lie in a certain sector can be replaced by an equivalent test to find whether all eigenvalues of a real matrix of order 4n lie in the left half plane.

AB - It is shown that the test to determine whether all eigenvalues of a complex matrix of order n lie in a certain sector can be replaced by an equivalent test to find whether all eigenvalues of a real matrix of order 4n lie in the left half plane.

UR - https://www.scopus.com/pages/publications/0016515936

M3 - Article

AN - SCOPUS:0016515936

SN - 0018-9286

VL - AC-20

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 3

ER -

ON EIGENVALUES OF COMPLEX MATRICES IN A SECTOR.

Abstract

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