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CORR
2006
Springer
93views Education» more  CORR 2006»
13 years 4 months ago
Unbiased Matrix Rounding
We show several ways to round a real matrix to an integer one such that the rounding errors in all rows and columns as well as the whole matrix are less than one. This is a classic...
Benjamin Doerr, Tobias Friedrich, Christian Klein,...
COMBINATORICS
2006
90views more  COMBINATORICS 2006»
13 years 4 months ago
On the Number of Possible Row and Column Sums of 0, 1-Matrices
For n a positive integer, we show that the number of of 2n-tuples of integers that are the row and column sums of some n
Daniel Goldstein, Richard Stong
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 4 months ago
The Linear Complexity of a Graph
The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar multiplications required to multiply that matrix and an arbitrary vector. In th...
David L. Neel, Michael E. Orrison
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
13 years 4 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
FOCM
2008
100views more  FOCM 2008»
13 years 4 months ago
Optimal Control and Geodesics on Quadratic Matrix Lie Groups
In this paper, we consider some matrix subgroups of the general linear group and in particular the special linear group that are defined by a quadratic matrix identity. The Lie al...
Anthony M. Bloch, Peter E. Crouch, Jerrold E. Mars...
AUTOMATICA
2006
103views more  AUTOMATICA 2006»
13 years 4 months ago
A universal iterative learning stabilizer for a class of MIMO systems
Design of iterative learning control (ILC) often requires some prior knowledge about a system's control matrix. In some applications, such as uncalibrated visual servoing, th...
Ping Jiang, Huadong Chen, Leon C. A. Bamforth
CSDA
2008
115views more  CSDA 2008»
13 years 4 months ago
Complex-valued ICA based on a pair of generalized covariance matrices
It is shown that any pair of scatter and spatial scatter matrices yields an estimator of the separating matrix for complex-valued independent component analysis (ICA). Scatter (re...
Esa Ollila, Hannu Oja, Visa Koivunen
DM
2010
97views more  DM 2010»
13 years 4 months ago
On Kramer-Mesner matrix partitioning conjecture
In 1977, Ganter and Teirlinck proved that any 2t
Yoomi Rho
CORR
2008
Springer
82views Education» more  CORR 2008»
13 years 4 months ago
Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation
Kaltofen has proposed a new approach in (Kaltofen, 1992) for computing matrix determinants without divisions. The algorithm is based on a baby steps/giant steps construction of Kr...
Gilles Villard
CORR
2008
Springer
119views Education» more  CORR 2008»
13 years 4 months ago
Learning Low Rank Matrices from O(n) Entries
How many random entries of an n
Raghunandan H. Keshavan, Andrea Montanari, Sewoong...