Semidefiniteness without Hermiticity

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Semidefiniteness without Hermiticity

Charles R. Johnson and Robert Reams

Source: Rocky Mountain J. Math. Volume 40, Number 5 (2010), 1579-1585.

First Page: Show

Primary Subjects: 15A03, 15A45, 15A48, 15A57

Keywords: Positive semidefinite; Hermitian part; row and column inclusion

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1289916912
Digital Object Identifier: doi:10.1216/RMJ-2010-40-5-1579
Zentralblatt MATH identifier: 05828482
Mathematical Reviews number (MathSciNet): MR2737379

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References

C.S. Ballantine and C.R. Johnson, Accretive matrix products, Linear and Multilinear Algebra 3 (1975), 169-185.

Mathematical Reviews (MathSciNet): MR396627

Zentralblatt MATH: 0346.15006

Digital Object Identifier: doi:10.1080/03081087508817108

D. Hershkowitz and H. Schneider, Matrices with a sequence of accretive powers, Israel J. Mathematics 55 (1986), 327-344.

Mathematical Reviews (MathSciNet): MR876399

Zentralblatt MATH: 0625.15017

Digital Object Identifier: doi:10.1007/BF02765030

R.A. Horn and C.R. Johnson, Matrix analysis, Cambridge University Press, Cambridge, 1985.

Mathematical Reviews (MathSciNet): MR832183

–––, Topics in matrix analysis, Cambridge University Press, Cambridge, 1991.

C.R. Johnson, K. Okubo and R. Reams, Uniqueness of matrix square roots and an application, Linear Algebra Appl. 323 (2001), 51-60.

Mathematical Reviews (MathSciNet): MR1809757

Zentralblatt MATH: 0976.15009

Digital Object Identifier: doi:10.1016/S0024-3795(00)00243-3

C.R. Johnson and R. Reams, Semidefiniteness without real symmetry, Linear Algebra Appl. 306 (2000), 203-209.

Mathematical Reviews (MathSciNet): MR1735940

Zentralblatt MATH: 0953.15023

Digital Object Identifier: doi:10.1016/S0024-3795(99)00256-6

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Rocky Mountain Journal of Mathematics