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Displaying 41 – 60 of 138

Extensions of the Minkowski determinant theorem

Merris, Russell (1979)

Portugaliae mathematica

Extensions of Three Matrix Inequalities to Semisimple Lie Groups

Xuhua Liu, Tin-Yau Tam (2014)

Special Matrices

We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context of semisimple Lie groups.

Extreme preservers of maximal column rank inequalities of matrix sums over semirings

Seok-Zun Song, Kwon-Ryong Park (2008)

Czechoslovak Mathematical Journal

We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme properties with respect to maximal column rank inequalities of matrix sums over semirings.

Generalized matrix versions of the Cauch-Schwarz and Kantorovich inequalities.

J.K. Baksalary, S. Puntanen (1991)

Aequationes mathematicae

Generalized $λ$ -Newton inequalities revisited.

Xu, Jianhong (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Geometry and inequalities of geometric mean

Trung Hoa Dinh, Sima Ahsani, Tin-Yau Tam (2016)

Czechoslovak Mathematical Journal

We study some geometric properties associated with the $t$ -geometric means $A ♯_{t} B : = A^{1 / 2} {(A^{- 1 / 2} B A^{- 1 / 2})}^{t} A^{1 / 2}$ of two $n \times n$ positive definite matrices $A$ and $B$ . Some geodesical convexity results with respect to the Riemannian structure of the $n \times n$ positive definite matrices are obtained. Several norm inequalities with geometric mean are obtained. In particular, we generalize a recent result of Audenaert (2015). Numerical counterexamples are given for some inequality questions. A conjecture on the geometric mean inequality regarding $m$ pairs...

Hadamard product versions of the Chebyshev and Kantorovich inequalities.

Matharu, Jagjit Singh, Aujla, Jaspal Singh (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Hadamard's inequality in inner product spaces.

Kulczycki, Marcin (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

How tight is Hadamard's bound?

Abbott, John, Mulders, Thom (2001)

Experimental Mathematics

Inequalities for exponentials in Banach algebras

A. Pryde (1991)

Studia Mathematica

For commuting elements x, y of a unital Banach algebra ℬ it is clear that $∥ e^{x + y} ∥ \leq ∥ e^{x} ∥ ∥ e^{y} ∥$ . On the order hand, M. Taylor has shown that this inequality remains valid for a self-adjoint operator x and a skew-adjoint operator y, without the assumption that they commute. In this paper we obtain similar inequalities under conditions that lie between these extremes. The inequalities are used to deduce growth estimates of the form $∥ e^{'} ∥ \leq c (1 + | ξ | ⟩^{s}$ for all $ξ \in R^{m}$ , where $x = (x_{1}, . . ., x_{m}) \in ℬ^{m}$ and c, s are constants.

Inequalities for $J$ -contractions involving the $α$ -power mean.

Soares, G. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Inequalities involving Hadamard products of Hermitian matrices.

Yang, Zhongpeng, Zhang, Xian, Cao, Chongguang (2001)

Applied Mathematics E-Notes [electronic only]

Inequalities involving immanants and diagonal products for H-matrices and positive definite matrices

Johnson, Charles R., Merris, Russell, Pierce, Stephen (1985/1986)

Portugaliae mathematica

Inequalities involving Khatri-Rao products of positive semi-definite matrices.

Zhang, Xian, Yang, Zhongpeng, Cao, Chongguang (2002)

Applied Mathematics E-Notes [electronic only]

Kantorovich type inequalities for ordered linear spaces.

Niezgoda, Marek (2010)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Latent roots of lambda-matrices, Kronecker sums and matricial norms

José S. L. Vitória (1980)

Aplikace matematiky

Kronecker sums and matricial norms are used in order to give a method for determining upper bounds for $|A|$ where $A$ is a latent root of a lambda-matrix. In particular, upper bounds for $|z|$ are obtained where $z$ is a zero of a polynomial with complex coefficients. The result is compared with other known bounds for $|z|$ .

Currently displaying 41 – 60 of 138

Previous Page 3 Next

Displaying 41 – 60 of 138

Extensions of the Minkowski determinant theorem

Extensions of Three Matrix Inequalities to Semisimple Lie Groups

Extreme preservers of maximal column rank inequalities of matrix sums over semirings

Generalized matrix versions of the Cauch-Schwarz and Kantorovich inequalities.

Generalized $λ$ -Newton inequalities revisited.

Geometry and inequalities of geometric mean

Hadamard product versions of the Chebyshev and Kantorovich inequalities.

Hadamard's inequality in inner product spaces.

How tight is Hadamard's bound?

Inequalities for exponentials in Banach algebras

Inequalities for $J$ -contractions involving the $α$ -power mean.

Inequalities involving Hadamard products of Hermitian matrices.

Inequalities involving immanants and diagonal products for H-matrices and positive definite matrices

Inequalities involving Khatri-Rao products of positive semi-definite matrices.

Kantorovich type inequalities for ordered linear spaces.

Latent roots of lambda-matrices, Kronecker sums and matricial norms

Lower bounds for the spectral norm.

Matrices and submatrices with constrained invariant factors

Matrices with prescribed rows and invariant factors

Matrix and operator inequalities.

Currently displaying 41 – 60 of 138