Publications related to Fast hierarchical solvers for symmetric eigenvalue problems

Guaranteed recovery of a low-rank and joint-sparse matrix from incomplete and noisy measurements

Pierre Vandergheynst, Mohammad Golbabaee

Assume a multichannel data matrix, which due to the column-wise dependencies, has low-rank and joint-sparse representation. This matrix wont have many degrees of freedom. Enormous developments over the last decade in areas of compressed sensing and low-ran ...

2011

Colourful FKS subtraction

I formulate in a colour-friendly way the FKS method for the computation of QCD cross sections at the next-to-leading order accuracy. This is achieved through the definition of subtraction terms for squared matrix elements, constructed with single colour-dr ...

2011

Direct-Ambient Decomposition and Upmix of Surround Signals

Christof Faller, Andreas Walther

Various direct-ambient signal decompositions, applicable to two-channel stereophonic signals, have been proposed previously. Strategies to enhance these decompositions for multi-channel surround audio signals are not obvious. A method is proposed, which es ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Bifurcation and decay of solutions for a class of elliptic equations on R-N

Charles Stuart

We consider a class of nonlinear eigenvalue problems including equations such as −Δu(x) + q(x)u(x) + γ u(x)2 ξ(x)2 + u(x)2 u = λu(x) for x ∈ R , where γ > 0, q ∈ L∞(RN ) and ξ ∈ L2(RN ) are given and we are interested in eigenvalues λ ∈ R for which this eq ...

American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa2011

Fill-ins number reducing direct solver designed for FIT-type matrix

Michal Karol Dobrzynski, Jagoda Anna Dobrzynska

This paper investigates the particular problem of matrices appearing during the modeling of Integrated Circuits with Finite Integration Technique (FIT) method. We present the key points of FIT approach followed by an illustration of the structure and the p ...

Elsevier2010

Reduction to Condensed Forms for Symmetric Eigenvalue Problems on Multi-core Architectures

Daniel Kressner

We investigate the performance of the routines in LAPACK and the Successive Band Reduction (SBR) toolbox for the reduction of a dense matrix to tridiagonal form, a crucial preprocessing stage in the solution of the symmetric eigenvalue problem, on general- ...

Springer, New York2010

Binaural Audio Signal Processing Using Interaural Coherence Matching

Fritz Menzer

Binaural room impulse responses (BRIRs) characterize the transfer of sound from a source in a room to the left and right ear entrances of a listener. Applying BRIRs to sound source signals enables headphone listening with the perception of a three dimensio ...

EPFL2010

Dictionary Identification - Sparse Matrix-Factorisation via $\ell_1$-Minimisation

Rémi Gribonval, Karin Schnass

This article treats the problem of learning a dictionary providing sparse representations for a given signal class, via

\ell_1

-minimisation. The problem can also be seen as factorising a

\ddim \times \nsig

matrix $Y=(y_1 \ldots y_\nsig), , y_n\in \R^\ ...

Institute of Electrical and Electronics Engineers2010

On the computation of structured singular values and pseudospectra

Daniel Kressner, Effrosyni Kokiopoulou

Structured singular values and pseudospectra play an important role in assessing the properties of a linear system under structured perturbations. This paper discusses computational aspects of structured pseudospectra for structures that admit an eigenvalu ...

2010

Stability Study of a Complete Hydroelectric Production Site by Eigenvalues Analysis Method Based on Phase Variables

François Avellan, Jean-Jacques Simond, Christophe Nicolet, Basile Kawkabani, Sébastien Alligné, Pedro Camilo de Oliveira e Silva

The eigenvalues analysis method is generally applied to synchronous machines by using d,q-components. This paper presents the application of this method on an equivalent model for the synchronous machine based on phase variables a,b,c instead of d,q-compon ...

2010

Fast hierarchical solvers for symmetric eigenvalue problems

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Guaranteed recovery of a low-rank and joint-sparse matrix from incomplete and noisy measurements

Colourful FKS subtraction

Direct-Ambient Decomposition and Upmix of Surround Signals

Bifurcation and decay of solutions for a class of elliptic equations on R-N

Fill-ins number reducing direct solver designed for FIT-type matrix

Reduction to Condensed Forms for Symmetric Eigenvalue Problems on Multi-core Architectures

Binaural Audio Signal Processing Using Interaural Coherence Matching

Dictionary Identification - Sparse Matrix-Factorisation via $\ell_1$-Minimisation

On the computation of structured singular values and pseudospectra

Stability Study of a Complete Hydroelectric Production Site by Eigenvalues Analysis Method Based on Phase Variables

Bifurcation and decay of solutions for a class of elliptic equations on R-N

Stability Study of a Complete Hydroelectric Production Site by Eigenvalues Analysis Method Based on Phase Variables

On the computation of structured singular values and pseudospectra

Dictionary Identification - Sparse Matrix-Factorisation via $\ell_1$-Minimisation

Direct-Ambient Decomposition and Upmix of Surround Signals

Guaranteed recovery of a low-rank and joint-sparse matrix from incomplete and noisy measurements

Colourful FKS subtraction

Binaural Audio Signal Processing Using Interaural Coherence Matching

Reduction to Condensed Forms for Symmetric Eigenvalue Problems on Multi-core Architectures

Fill-ins number reducing direct solver designed for FIT-type matrix