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Multi-panel, on-single-chip Memristive Biosensing

Publications associées (32)

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Block-Floating-Point Enhanced MMSE Filter Matrix Computation for MIMO-OFDM Communication Systems

Andreas Peter Burg, Carl Christian Sten Dominic Senning

n this paper we present an architecture for an MMSE ﬁlter matrix computation unit for signal detection in MIMO-OFDM communication systems. We propose to compute the required matrix inverse based on a Cholesky decomposition, followed by a Gauss-Jordan matri ...

2013

Chebyshev interpolation for nonlinear eigenvalue problems

Daniel Kressner, Peter Cedric Effenberger

This work is concerned with numerical methods for matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. In particular, we focus on eigenvalue problems for which the evaluation of the matrix-valued function is computationally expensive. ...

Springer Netherlands2012

Applications of magnetic Labs-on-a-chip

Martinus Gijs

Using magnetic micro- and nanoparticles (beads) in microfluidic chips opens new perspectives for miniaturized applications in analytical sciences. Four important application areas of magnetic particles in microfluidic systems are discussed. The first one i ...

Springer2010

A Class of Integrable Flows on the Space of Symmetric Matrices

Tudor Ratiu

For a given skew symmetric real n x n matrix N, the bracket X, Y = XNY - YNX defines a Lie algebra structure on the space Sym(n, N) of symmetric n x n real matrices and hence a corresponding Lie-Poisson structure. The purpose of this paper is to inves ...

Springer Verlag2009

Structured Hölder condition numbers for multiple eigenvalues

Daniel Kressner

The sensitivity of a multiple eigenvalue of a matrix under perturbations can be measured by its Hölder condition number. Various extensions of this concept are considered. A meaningful notion of structured Hölder condition numbers is introduced, and it is ...

Society for Industrial and Applied Mathematics2009

Structured Eigenvalue Problems

Daniel Kressner

Most eigenvalue problems arising in practice are known to be structured. Structure is often introduced by discretization and linearization techniques but may also be a consequence of properties induced by the original problem. Preserving this structure can ...

2006

On Matrix Rigidity and the Complexity of Linear Forms

Mahdi Cheraghchi Bashi Astaneh

The rigidity function of a matrix is defined as the minimum number of its entries that need to be changed in order to reduce the rank of the matrix to below a given parameter. Proving a strong enough lower bound on the rigidity of a matrix implies a nontri ...

2005

On the condition of a complex eigenvalue under real perturbations

Daniel Kressner

We investigate the condition number for a complex eigenvalue of a real matrix under real perturbations. Based on an explicit formula, it is shown that this number is never smaller than 1/root2 times the corresponding condition number with respect to comple ...

2004

Low Rank Updates for the Cholesky Decomposition

Matthias Seeger

Usage of the Sherman-Morrison-Woodbury formula to update linear systems after low rank modifications of the system matrix is widespread in machine learning. However, it is well known that this formula can lead to serious instabilities in the presence of ro ...

2004

The Degenerate Bounded Errors-in-Variables Model

Ali H. Sayed

We consider the following problem:

\min_{x \in {\cal R}^n} \min_{\|E\| \le \eta} \|(A+E)x-b\|

, where A is an

m \times n

real matrix and b is an n-dimensional real column vector when it has multiple global minima. This problem is an errors-in-variables ...

2001

The Degenerate Bounded Errors-in-Variables Model

Ali H. Sayed

We consider the following problem:

\min_{x \in {\cal R}^n} \min_{\|E\| \le \eta} \|(A+E)x-b\|

, where A is an

m \times n

real matrix and b is an n-dimensional real column vector when it has multiple global minima. This problem is an errors-in-variables ...

2001