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Inequalities for spreads of matrix sums and products.
- J. Merikoski, Ravinder Kumar
- Mathematics
- 2004
Let A and B be complex matrices of same dimension. Given their eigen- values and singular values, we survey and further develop simple inequalities for eigenvalues and singular values of A + B, AB ,a…
On eigenvalues of meet and join matrices associated with incidence functions
- Pauliina Ilmonen, P. Haukkanen, J. Merikoski
- Mathematics
- 1 August 2008
A best upper bound for the 2-norm condition number of a matrix
- J. Merikoski, Uoti Urpala, A. Virtanen, T. Tam, F. Uhlig
- Mathematics
- 15 March 1997
Bounds for Eigenvalues Using the Trace and Determinant
- J. Merikoski, A. Virtanen
- Mathematics
- 1 October 1997
Characterizations and lower bounds for the spread of a normal matrix
- J. Merikoski, Ravinder Kumar
- Mathematics
- 1 May 2003
Mathematical Modelling
- Matti Heili, Timo Lhivaara, M. Vauhkonen
- Computer Science
- 14 July 2016
TLDR
ON THE STAR PARTIAL ORDERING OF NORMAL MATRICES
- J. Merikoski, Xiaoji Liu
- Mathematics
- 2006
We order the space of complex n× n matrices by the star partial ordering ≤∗. So A ≤∗ B means that A∗A = A∗B andAA∗ = BA∗. We find several characterizations for A ≤∗ B in the case of normal matrices.…
THE STABILIZING PROPERTIES OF NONNEGATIVITY CONSTRAINTS IN LEAST-SQUARES IMAGE RECONSTRUCTION
- J. Bardsley, J. Merikoski, R. Vio
- Mathematics
- 2007
The incorporation of nonnegativity constraints in image reconstruction problems is known to have a stabilizing effect on solution methods. In this paper, we both demonstrate and provide an…
Bounds for singular values using traces
- J. Merikoski, Humberto Sarria, P. Tarazaga
- Mathematics
- 1 October 1994
A simple proof for the inequality between the perron root of a nonnegative matrix and that of its geometric symmetrization
- Yu.A. Alpin, J. Merikoski
- Mathematics
- 8 September 2010
AbstractLet A = (aij) be a nonnegative square matrix, let G = (gij) be its geometric symmetrization, i.e., gij = $$
\sqrt {a_{ij} a_{ji} }
$$, and let ρ denote the Perron root. We present a simple…
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