Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations.
Liu, Jianzhou, Zhang, Juan, Liu, Yu (2009)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation.”
Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations.
Maximizing the determinant for a special class of block-partitioned matrices.
Popescu, Otilia, Rose, Christopher, Popescu, Dimitrie C. (2004)
Mathematical Problems in Engineering
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On some matrix trace inequalities.
Ulukök, Zübeyde, Türkmen, Ramazan (2010)
Journal of Inequalities and Applications [electronic only]
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A trace inequality for positive definite matrices.
Belmega, Elena-Veronica, Lasaulce, Samson, Debbah, Mérouane (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.
Heinz Neudecker (2004)
SORT
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The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.
On elementary symmetric functions of the eigenvalues of the sum and product of normal matrices
Jorma Kaarlo Merikoski, Ari Virtanen (1992)
Czechoslovak Mathematical Journal
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Matrix and operator inequalities.
Dannan, Fozi M. (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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A note on the scalar Haffian.
Heinz Neudecker (2000)
Qüestiió
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In this note a uniform transparent presentation of the scalar Haffian will be given. Some well-known results will be generalized. A link will be established between the scalar Haffian and the derivative matrix as developed by Magnus and Neudecker.
PROBLEMS
M. Chrobak, M. Habib, P. John, H. Sachs, H. Zernitz, J. R. Reay, G. Sierksma, M. M. Sysło, T. Traczyk, W. Wessel (1987)
Applicationes Mathematicae
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A note on the trace inequality for products of Hermitian matrix power.
Yang, Zhongpeng, Feng, Xiaoxia (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Tłumaczenie: Lew Pontraingin, O ciągłych ciałach algebraicznych
Jerzy Pogonowski (2018)
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
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Tłumaczenie
A matrix derivation of a representation theorem for (tr A).
Heinz Neudecker (1989)
Qüestiió
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A matrix derivation of a well-known representation theorem for (tr A) is given, which is the solution of a restricted maximization problem. The paper further gives a solution of the corresponding restricted minimization problem.