Neudecker H.A matrix trace inequality. Journal of Mathematical Analysis and Applications . 1992Neudecker H., A matrix trace inequality, J. Math. Anal. Appl. 166 (1992), 302-303.Neudecker H.A matrix trace inequality. Journal of Mathematical Analysis and Applications . 1992...
Plevnik, L.: On a matrix trace inequality due to Ando, Hiai and Okubo. Indian J. Pure Appl. Math. 47, 491–500 (2016) Article MathSciNet Google Scholar Download references Author information Authors and Affiliations Department of Mathematics, Yarmouk University, Irbid, Jordan Mostafa Hayajne...
trace and the eigenvalues of a positive definite Hermitian matrix and get inequalities about the trace and eigenvalues between the Schur complement of the sum of positive definite Hermiteian matrix and the sum of the Schur complements of positive definite Hermiteian matrix by proving an inequality. ...
In this note, for a C*-algebra A, we define a matrix-trace on the C*-algebra Mn(A) to be a positive linear mapping τ:Mn(A)→A such that τ(u*au)=τ(a) (∀a∈Mn(A), ∀u∈U(Mn(A))) and τ(a2)⩽(τ(a))2 (∀a⩾0). We give some basic ...
Trace inequalitySkew informationJensen’s inequalityWe introduce a skew information of Lieb’s type S f , g ( A , X ) = Tr f ( A ) Xg ( A ) X - Tr f ( A ) g ( A ) X 2 for selfadjoint matrices A, X. We give conditions for f and g so that Sf,g is positive or ...
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In this note, for a C ja:math -algebra A , we define a matrix-trace on the C ja:math -algebra M n ( A ) to be a positive linear mapping τ : M n ( A )→ A such that ja:math and τ(a 2 )(τ(a)) 2 (a0) ja:math . We give some basic properties of a matrix-trace...
When continuing the solution of the matrix exponential function to SU(4), the four real roots of a quartic polynomial are determined with the help of a cubic resolvent equation that also belongs to the irreducible case. As an interesting byproduct of this analysis one obtains the shape of ...
The matrix valued function Q[H] is positive semidefinite if and only if xT Q[H]x ≥ 0 for all vectors x ∈ Rn and all H ∈ Rn×n. Or equivalently, the following inequality must hold xT HT xT GT HT MQ Hx HGx ≥ 0. (3.3) Let yT := xT HT xT GT HT . (3.4) Then (3.3)...
A Trace Inequality for Commuting d-Tuples of Operators For a commuting d-tuple of operators T defined on a complex separable Hilbert space H, let [T*, T] be the d x d block operator (([T-j*, T-i])) n of the com... G Misra,P Pramanick,KB Sinha - 《Integral Equations & Op...