Results 131 to 140 of about 41,020 (249)

Determinants of nonprincipal submatrices of positive semidefinite matrices

open access: yesLinear Algebra and its Applications, 1984
AbstractWe compute here the maximum value of the modulus of the determinant of an m×m nonprincipal submatrix of an n×n positive semidefinite matrix A, in terms of m, the eigenvalues of A, and cardinality k of the set of common row and column indices of this submatrix.
openaire   +2 more sources

On ㏒ majorizations for positive semidefinite matrices [PDF]

open access: yesMathematical Inequalities & Applications, 2013
Chia-Shiang Lin, Yeol Je Cho
openaire   +2 more sources

A determinantal inequality for positive semidefinite matrices

open access: yesThe Electronic Journal of Linear Algebra, 2014
Let A, B, C be n × n positive semidefinite matrices. It is known that det(A + B + C) + det C ≥ det(A + C) + det(B + C), which includes det(A + B) ≥ det A + det B as a special case. In this article, a relation between these two inequalities is proved, namely, det(A + B + C) + det C − (det(A + C) + det(B + C)) ≥ det(A + B) − (det A + det B).
openaire   +2 more sources

Semidefinite code bounds based on quadruple distances

open access: yes, 2010
Let $A(n,d)$ be the maximum number of $0,1$ words of length $n$, any two having Hamming distance at least $d$. We prove $A(20,8)=256$, which implies that the quadruply shortened Golay code is optimal.
Gijswijt, Dion C.   +2 more
core   +2 more sources

Preconditioning by an extended matrix technique for convection-diffusion-reaction equations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2008
In this paper we consider a preconditioning technique for the ill-conditioned systems arising from discretisations of nonsymmetric elliptic boundary value problems.
Aurelian Nicola, Constantin Popa
doaj   +2 more sources

Approximation in trace norm by positive semidefinite matrices

open access: yesLinear Algebra and its Applications, 1985
AbstractInformation is obtained about best approximation of a matrix by positive semidefinite ones, in trace norm. The situation is much different from approximation in spectral and Euclidean norms.
openaire   +2 more sources

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