A trace inequality for functions of triangular Hilbert-Schmidt operators
A trace inequality for positive definite matrices.
A Trace Inequality of John von Neumann.
A transvection decomposition in GL(n,2)
An algorithm is given to decompose an automorphism of a finite vector space over ℤ₂ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ℤ₂-representations generated by a redundant base, this is a decomposition into base changes.
A treatment of a determinant inequality of Fiedler and Markham
Fiedler and Markham (1994) proved where is a positive semidefinite matrix partitioned into blocks with each block and . We revisit this inequality mainly using some terminology from quantum information theory. Analogous results are included. For example, under the same condition, we prove
A tutorial on conformal groups
Our concern is with the group of conformal transformations of a finite-dimensional real quadratic space of signature (p,q), that is one that is isomorphic to , the real vector space , furnished with the quadratic form , and especially with a description of this group that involves Clifford algebras.
A unified approach to fixed-order controller design via linear matrix inequalities.
A Unified Extension of Some Results of Thompson, Marcus and Moyls.
A unified treatment of the theories of matroids with coefficients and of -matroids with coefficients.
A variance analog of majorization and some associated inequalities.
A variant of the reciprocal super Catalan matrix
Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented. In this paper, we define and study a variant of the reciprocal super Catalan matrix with two additional parameters. Explicit formulæ for its LU-decomposition, LUdecomposition of its inverse and the Cholesky decomposition are obtained. For all results, q-analogues...
A variant on the graph parameters of Colin de Verdière: implications to the minimum rank of graphs.
A well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition
The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.
AB-Algorithm and Its Modifications for the Spectral Problems of Linear Pencils of Matrices.
Abelian differential modes are quasi-affine
We study a class of strongly solvable modes, called differential modes. We characterize abelian algebras in this class and prove that all of them are quasi-affine, i.e., they are subreducts of modules over commutative rings.
Abelian Varieties Attached to Polarized K3-Surfaces.
About a determinant of rectangular matrix and its geometric interpretation.
Abschätzung von Normen gewisser Matrizen und eine Anwendung.
Absolute value equations with tensor product structure: Unique solvability and numerical solution
We consider the absolute value equations (AVEs) with a certain tensor product structure. Two aspects of this kind of AVEs are discussed in detail: the solvability and approximate solution. More precisely, first, some sufficient conditions are provided which guarantee the unique solvability of this kind of AVEs. Furthermore, a new iterative method is constructed for solving AVEs and its convergence properties are investigated. The validity of established theoretical results and performance of the...
Absolutely flat idempotents.