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The determinant of the sum of two matrices
The determinant of the sum of two matrices,10.1017/S0004972700014908,Bulletin of The Australian Mathematical Society,ChiKwong Li,Roy Mathias
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The determinant of the sum of two matrices
(
Citations: 10
)
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ChiKwong Li
,
Roy Mathias
Journal:
Bulletin of The Australian Mathematical Society  BULL AUST MATH SOC
, vol. 52, no. 03, 1995
DOI:
10.1017/S0004972700014908
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www.journals.cambridge.org
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Citation Context
(5)
...One may consider the ranks, determinants, eigenvalues, and norms of the sum, the product, the Lie product, the Jordan product of matrices from dierent orbits; [17,
22
, 28]...
ChiKwong Li
,
et al.
Ranks and determinants of the sum of matrices from unitary orbits
...Theorem 9: There exist matrices and with singular values and , respectively, such that if and only if we have (34), shown at the bottom of the page. Proof: See [
17
]...
Zhiguo Ding
,
et al.
On the DiversityMultiplexing Tradeoff for Wireless Cooperative Multip...
...To bound the roots of (15), we first need the following theorem from [
15
]...
...Theorem 2: (LiMathias [
15
]): Given two Ndimensional square matrices 1 Q and 2 Q , whose singular values are...
Muyi Yang
,
et al.
Stability and performance analysis of a congestion control algorithm f...
...To bound the roots of (22), we flrst need the following theorem from [
20
]...
...To bound the roots of (22), we flrst need the following theorem from [20]. Theorem 2 (LiMathias [
20
])...
Yueping Zhang
,
et al.
Delayed stability and performance of distributed congestion control
...To bound the roots of (22), we flrst need the following theorem from [
20
]...
...To bound the roots of (22), we flrst need the following theorem from [20]. Theorem 2 (LiMathias [
20
])...
Yueping Zhang
,
et al.
Delayed stability and performance of distributed congestion control
References
(2)
On the eigenvalues of sums of Hermitian matrices
(
Citations: 24
)
R Thompson
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
, vol. 4, no. 4, pp. 369376, 1971
Matrices with prescribed submatrices
(
Citations: 6
)
G. N. De Oliveira
Journal:
Linear & Multilinear Algebra  LINEAR MULTILINEAR ALGEBRA
, vol. 12, no. 2, pp. 125138, 1982
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Citations
(10)
Decomposition–coordination interior point method and its application to multiarea optimal reactive power flow
(
Citations: 3
)
Wei Yan
,
Lili Wen
,
W. Li
,
C. Y. Chung
,
K. P. Wong
Journal:
International Journal of Electrical Power & Energy Systems  INT J ELEC POWER ENERG SYST
, vol. 33, no. 1, pp. 5560, 2011
Determinant and Pfaffian of sum of skew symmetric matrices
(
Citations: 2
)
TinYau Tam
,
Mary Clair Thompson
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
, vol. 433, no. 2, pp. 412423, 2010
Ranks and determinants of the sum of matrices from unitary orbits
(
Citations: 3
)
ChiKwong Li
,
YiuTung Poon
,
NungSing Sze
Journal:
Linear & Multilinear Algebra  LINEAR MULTILINEAR ALGEBRA
, vol. 56, no. 12, pp. 105130, 2008
On the DiversityMultiplexing Tradeoff for Wireless Cooperative Multiple Access Systems
(
Citations: 39
)
Zhiguo Ding
,
Tharmalingam Ratnarajah
,
Colin C. F. Cowan
Journal:
IEEE Transactions on Signal Processing  TSP
, vol. 55, no. 9, pp. 46274638, 2007
Stability and performance analysis of a congestion control algorithm for networks
(
Citations: 1
)
Muyi Yang
,
Yuanwei Jing
,
G. M. Dimirovski
,
Nannan Zhang
Conference:
Conference on Decision and Control  CDC
, pp. 44534458, 2007