Zobrazeno 1 - 10 of 10 pro vyhledávání: '"Mirko Myllykoski"'
1
Algorithm 1019 : A Task-based Multi-shift QR/QZ Algorithm with Aggressive Early Deflation
Autor: Mirko Myllykoski
The QR algorithm is one of the three phases in the process of computing the eigenvalues and the eigenvectors of a dense nonsymmetric matrix. This paper describes a task-based QR algorithm for reducing an upper Hessenberg matrix to real Schur form. Th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40ba854aad56a28113aa4b9ed85143b1
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-190558
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2
Task‐based, GPU‐accelerated and robust library for solving dense nonsymmetric eigenvalue problems
Autor: Carl Christian Kjelgaard Mikkelsen, Mirko Myllykoski
In this paper, we present the StarNEig library for solving dense nonsymmetric standard and generalized eigenvalue problems. The library is built on top of the StarPU runtime system and targets both shared and distributed memory machines. Some compone
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::059fba844a0eed57c1130c69ad64bea7
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-173924
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3
Parallel Robust Computation of Generalized Eigenvectors of Matrix Pencils
Autor: Mirko Myllykoski, Carl Christian Kjelgaard Mikkelsen
Publikováno v: Parallel Processing and Applied Mathematics ISBN: 9783030432287
PPAM (1)
In this paper we consider the problem of computing generalized eigenvectors of a matrix pencil in real Schur form. In exact arithmetic, this problem can be solved using substitution. In practice, substitution is vulnerable to floating-point overflow.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcb98d9eef6f2276358d9c0739fdfa16
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-168416
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4
Introduction to StarNEig : A Task-based Library for Solving Nonsymmetric Eigenvalue Problems
Autor: Carl Christian Kjelgaard Mikkelsen, Mirko Myllykoski
Publikováno v: Parallel Processing and Applied Mathematics ISBN: 9783030432287
In this paper, we present the StarNEig library for solvingdense nonsymmetric (generalized) eigenvalue problems. The library isbuilt on top of the StarPU runtime system and targets both shared anddistributed memory machines. Some components of the lib
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::993d0976c20cf9bcfd258c5aeeedfdd1
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-168419
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5
On solving separable block tridiagonal linear systems using a GPU implementation of radix-4 PSCR method
Autor: Tuomo Rossi, Mirko Myllykoski, Jari Toivanen
Publikováno v: Journal of Parallel and Distributed Computing
Partial solution variant of the cyclic reduction (PSCR) method is a direct solver that can be applied to certain types of separable block tridiagonal linear systems. Such linear systems arise, e.g., from the Poisson and the Helmholtz equations discre
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d53d2bd4afaf17a888a1521c163d00a
https://doi.org/10.1016/j.jpdc.2018.01.004
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6
A Task-Based Algorithm for Reordering the Eigenvalues of a Matrix in Real Schur Form
Autor: Mirko Myllykoski
Publikováno v: Parallel Processing and Applied Mathematics
Lecture Notes in Computer Science
Lecture Notes in Computer Science-Parallel Processing and Applied Mathematics
Parallel Processing and Applied Mathematics ISBN: 9783319780238
PPAM (1)
A task-based parallel algorithm for reordering the eigenvalues of a matrix in real Schur form is presented. The algorithm is realized on top of the StarPU runtime system. Only the aspects which are relevant for shared memory machines are discussed he
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a80d654aaaa82d227a44eba209dec86
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7
A New Augmented Lagrangian Approach for $L^1$-mean Curvature Image Denoising
Autor: Tommi Kärkkäinen, Mirko Myllykoski, Tuomo Rossi, Roland Glowinski
Publikováno v: SIAM Journal on Imaging Sciences. 8:95-125
Variational methods are commonly used to solve noise removal problems. In this paper, we present an augmented Lagrangian-based approach that uses a discrete form of the L1-norm of the mean curvature of the graph of the image as a regularizer, discret
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5a49c8365a16d6ccc8ef64a17384ef8
https://doi.org/10.1137/140962164
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8
A parallel radix-4 block cyclic reduction algorithm
Autor: Tuomo Rossi, Mirko Myllykoski
Publikováno v: Numerical Linear Algebra with Applications. 21:540-556
SUMMARY A conventional block cyclic reduction algorithm operates by halving the size of the linear system at each reduction step, that is, the algorithm is a radix-2 method. An algorithm analogous to the block cyclic reduction known as the radix-q pa
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::014e8765a05713297893a06313f888f9
https://doi.org/10.1002/nla.1909
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10
Fast Poisson solvers for graphics processing units
Autor: Tuomo Rossi, Mirko Myllykoski, Jari Toivanen
Publikováno v: Applied Parallel and Scientific Computing ISBN: 9783642368028
PARA
Two block cyclic reduction linear system solvers are considered and implemented using the OpenCL framework. The topics of interest include a simplified scalar cyclic reduction tridiagonal system solver and the impact of increasing the radix-number of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64782e4e869f8e090821d7ede6c73a2b
http://urn.fi/URN:NBN:fi:jyu-201509022794
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