Tuǧrul Dayar

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All published works

Action	Title	Year	Authors
+ PDF Chat	On compact vector formats in the solution of the chemical master equation with backward differentiation	2018	Tuǧrul Dayar M. Can Orhan
+ PDF Chat	A Software Tool for the Compact Solution of the Chemical Master Equation	2018	Tuǧrul Dayar M. Can Orhan
+	Vector–Kronecker Product Multiplication	2018	Tuǧrul Dayar
+	Steady-State Analysis	2018	Tuǧrul Dayar
+	Kronecker Modeling and Analysis of Multidimensional Markovian Systems	2018	Tuǧrul Dayar
+	Modeling with Kronecker Products	2018	Tuǧrul Dayar
+	Introduction	2018	Tuǧrul Dayar
+ PDF Chat	On compact solution vectors in Kronecker-based Markovian analysis	2017	Peter Buchholz Tuǧrul Dayar Jan Kriege M. Can Orhan
+ PDF Chat	Compact Representation of Solution Vectors in Kronecker-Based Markovian Analysis	2016	Peter Buchholz Tuǧrul Dayar Jan Kriege M. Can Orhan
+	Matrix-Analytic Methods	2012	Tuǧrul Dayar
+	Decompositional Methods	2012	Tuǧrul Dayar
+	Preliminaries	2012	Tuǧrul Dayar
+	Iterative Methods	2012	Tuǧrul Dayar
+ PDF Chat	Bounding the equilibrium distribution of Markov population models	2011	Tuǧrul Dayar Holger Hermanns David Spieler Verena Wolf
+	Computational Methods for <scp>DTMCs</scp>	2011	Tuǧrul Dayar William J. Stewart
+	Bounding the Equilibrium Distribution of Markov Population Models	2010	Tuǧrul Dayar Holger Hermanns David Spieler Verena Wolf
+	Computational Methods for <scp>CTMCs</scp>	2010	Tuǧrul Dayar William J. Stewart
+	Bounding the Equilibrium Distribution of Markov Population Models	2010	Tuǧrul Dayar Holger Hermanns David Spieler Verena Wolf
+ PDF Chat	Kronecker representation and decompositional analysis of closed queueing networks with phase-type service distributions and arbitrary buffer sizes	2008	Tuǧrul Dayar Akın Meriç
+	Decompositional Analysis of Kronecker Structured Markov Chains	2008	Yujuan Bao İlker Nadi Bozkurt Tuǧrul Dayar Xiaobai Sun Kishor S. Trivedi
+ PDF Chat	On the Convergence of a Class of Multilevel Methods for Large Sparse Markov Chains	2007	Peter Buchholz Tuǧrul Dayar
+ PDF Chat	Componentwise bounds for nearly completely decomposable Markov chains using stochastic comparison and reordering	2004	Nihal Pekergin Tuǧrul Dayar Denizhan N. Alparslan
+ PDF Chat	Lumpable continuous-time stochastic automata networks	2003	Oleg Gusak Tuǧrul Dayar Jean‐Michel Fourneau
+ PDF Chat	Transforming stochastic matrices for stochastic comparison with the st-order	2003	Tuǧrul Dayar Jean-Michel Fourneau Nihal Pekergin
+ PDF Chat	Quasi-Birth-and-Death Processes with Level-Geometric Distribution	2002	Tuǧrul Dayar Franck Quessette
+	Comparison of Partitioning Techniques for Two-Level Iterative Solvers on Large, Sparse Markov Chains	2000	Tuǧrul Dayar William J. Stewart
+	State Space Orderings for Gauss--Seidel in Markov Chains Revisited	1998	Tuǧrul Dayar
+ PDF Chat	Quasi Lumpability, Lower-Bounding Coupling Matrices, and Nearly Completely Decomposable Markov Chains	1997	Tuǧrul Dayar William J. Stewart
+	On the effects of using the GTH method in the iterative-aggregation disaggregation technique	1994	Tuǧrul Dayar William J. Stewart
+	Stability and conditioning issues on the numerical solution of Markov chains	1994	Tuǧrul Dayar

Common Coauthors

Coauthor	Papers Together
William J. Stewart	5
M. Can Orhan	4
Holger Hermanns	3
Verena Wolf	3
David Spieler	3
Peter Buchholz	3
Nihal Pekergin	2
Jan Kriege	2
Jean-Michel Fourneau	1
Xiaobai Sun	1
Jean‐Michel Fourneau	1
Oleg Gusak	1
Franck Quessette	1
Akın Meriç	1
Denizhan N. Alparslan	1
Yujuan Bao	1
Kishor S. Trivedi	1
İlker Nadi Bozkurt	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Introduction to the Numerical Solution of Markov Chains	1995	William J. Stewart	23
+ PDF Chat	On the Convergence of a Class of Multilevel Methods for Large Sparse Markov Chains	2007	Peter Buchholz Tuǧrul Dayar	11
+	Complexity of Memory-Efficient Kronecker Operations with Applications to the Solution of Markov Models	2000	Peter Buchholz Gianfranco Ciardo Susanna Donatelli Peter Kemper	10
+	Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems	1989	Carl D. Meyer	10
+ PDF Chat	Bounds for the Positive Eigenvectors of Nonnegative Matrices and for their Approximations by Decomposition	1984	Pierre Courtois Pierre Semal	9
+	Numerical Solution of Large Finite Markov Chains by Algebraic Multigrid Techniques	1995	Udo R. Krieger	8
+	The ubiquitous Kronecker product	2000	Charles F. Van Loan	8
+	A note on local and global convergence analysis of iterative aggregation–disaggregation methods	2005	Ivo Marek Ivana Pultarová	8
+	Convergence analysis of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices	1998	Ivo Marek Petr Mayer	8
+	Comparison of Partitioning Techniques for Two-Level Iterative Solvers on Large, Sparse Markov Chains	2000	Tuǧrul Dayar William J. Stewart	8
+	Sufficient conditions for regularity, recurrence and ergodicity of Markov processes	1975	Richard L. Tweedie	7
+	Multilevel Solutions for Structured Markov Chains	2000	Peter Buchholz	7
+	Iterative Methods for Computing Stationary Distributions of Nearly Completely Decomposable Markov Chains	1984	J. R. Koury David F. McAllister William J. Stewart	7
+ PDF Chat	Block Two-stage Methods for Singular Systems and Markov Chains	1996	Violeta Migallón Jose Penadés Daniel B. Szyld	7
+	Algorithm 836	2004	Timothy A. Davis John R. Gilbert Stefan I. Larimore Esmond Ng	6
+	State Space Orderings for Gauss--Seidel in Markov Chains Revisited	1998	Tuǧrul Dayar	6
+ PDF Chat	Iterative aggregation/disaggregation techniques for nearly uncoupled markov chains	1985	Wei-Lu Cao William J. Stewart	6
+ PDF Chat	Compact Representation of Solution Vectors in Kronecker-Based Markovian Analysis	2016	Peter Buchholz Tuǧrul Dayar Jan Kriege M. Can Orhan	5
+ PDF Chat	A Kronecker product approximate preconditioner for SANs	2004	Amy N. Langville William J. Stewart	5
+	Exact and ordinary lumpability in finite Markov chains	1994	Peter Buchholz	5
+ PDF Chat	Lumpable continuous-time stochastic automata networks	2003	Oleg Gusak Tuǧrul Dayar Jean‐Michel Fourneau	5
+	Iterative Methods for Solving Linear Systems	1997	Anne Greenbaum	5
+	Structured Stochastic Matrices of M/G/1 Type and Their Applications.	1991	B. W. Conolly Marcel F. Neuts	5
+	Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems	1992	H.A. van der Vorst	5
+	Algorithm 941	2014	Daniel Kreßner Christine Tobler	5
+ PDF Chat	GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems	1986	Yousef Saad Martin H. Schultz	5
+	GTAexpress: A Software Package to Handle Kronecker Descriptors	2009	Ricardo M. Czekster Paulo Fernandes Thais Webber	5
+ PDF Chat	Kronecker representation and decompositional analysis of closed queueing networks with phase-type service distributions and arbitrary buffer sizes	2008	Tuǧrul Dayar Akın Meriç	5
+ PDF Chat	Quasi Lumpability, Lower-Bounding Coupling Matrices, and Nearly Completely Decomposable Markov Chains	1997	Tuǧrul Dayar William J. Stewart	5
+ PDF Chat	QMR: a quasi-minimal residual method for non-Hermitian linear systems	1991	Roland W. Freund No�l M. Nachtigal	5
+	Exact stochastic simulation of coupled chemical reactions	1977	Daniel T. Gillespie	5
+	Tensor-Train Decomposition	2011	Ivan Oseledets	5
+	Numerical solution of level dependent quasi-birth-and-death processes	2010	Hendrik Baumann Werner Sandmann	5
+	Numerical Methods for Structured Markov Chains	2005	Dario A. Bini Guy Latouche Beatrice Meini	5
+ PDF Chat	Bounding the equilibrium distribution of Markov population models	2011	Tuǧrul Dayar Holger Hermanns David Spieler Verena Wolf	5
+ PDF Chat	Stochastic simulations of the repressilator circuit	2007	Adiel Loinger Ofer Biham	4
+	A Two-Stage Iteration for Solving Nearly Completely Decomposable Markov Chains	1994	G. W. Stewart William J. Stewart D. F. McAllistert	4
+ PDF Chat	On compact solution vectors in Kronecker-based Markovian analysis	2017	Peter Buchholz Tuǧrul Dayar Jan Kriege M. Can Orhan	4
+	Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases	1996	V. Ramaswami Peter Taylor	4
+	Three Partition Refinement Algorithms	1987	Robert Paige Robert E. Tarjan	4
+ PDF Chat	A New Scheme for the Tensor Representation	2009	Wolfgang Hackbusch Simone Kühn	3
+	Local convergence of the (exact and inexact) iterative aggregation method for linear systems and Markov operators	1994	Ivo Marek Daniel B. Szyld	3
+	Low-Rank Tensor Methods for Communicating Markov Processes	2014	Daniel Kreßner Francisco Macedo	3
+ PDF Chat	Hierarchical Singular Value Decomposition of Tensors	2010	Lars Grasedyck	3
+ PDF Chat	The least variable phase type distribution is erlang	1987	David Aldous Shepp Larry	3
+ PDF Chat	A multi-level solution algorithm for steady-state Markov chains	1994	Graham Horton Scott T. Leutenegger	3
+ PDF Chat	A parallel solver for large-scale Markov chains	2002	Michele Benzi Miroslav Tůma	3
+ PDF Chat	Iterative and semi-iterative methods for computing stationary probability vectors of Markov operators	1993	Ivo Marek Daniel B. Szyld	2
+	Tensor Decompositions and Applications	2009	Tamara G. Kolda Brett W. Bader	2
+	O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling	2011	Boris N. Khoromskij	2