Volume 31, Number 1, 2009

• 
  Ilse C. F. Ipsen: Special Issue on Accurate Solution of Eigenvalue Problems.
• 
  Mark Embree: The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail. 1-10
• 
  Qiang Ye: Relative Perturbation Bounds for Eigenvalues of Symmetric Positive Definite Diagonally Dominant Matrices. 11-17
• 
  Ninoslav Truhar, Kresimir Veselic: An Efficient Method for Estimating the Optimal Dampers' Viscosity for Linear Vibrating Systems Using Lyapunov Equation. 18-39
• 
  Ilse C. F. Ipsen, Boaz Nadler: Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices. 40-53
• 
  Nela Bosner, Zlatko Drmac: Subspace Gap Residuals for Rayleigh-Ritz Approximations. 54-67
• 
  Jason Slemons: The Result of Two Steps of the LR Algorithm is Diagonally Similar to the Result of One Step of the HR Algorithm. 68-74
• 
  Rui Ralha: Perturbation Splitting for More Accurate Eigenvalues. 75-91
• 
  Mickaël Robbé, Miloud Sadkane, Alastair Spence: Inexact Inverse Subspace Iteration with Preconditioning Applied to Non-Hermitian Eigenvalue Problems. 92-113
• 
  Beresford N. Parlett, Christof Vömel: The Spectrum of a Glued Matrix. 114-132
• 
  J. Matejas: Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices. 133-153
• 
  Raf Vandebril, Gene H. Golub, Marc Van Barel: A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem. 154-174
• 
  Daniel Kressner, María José Peláez, Julio Moro: Structured Hölder Condition Numbers for Multiple Eigenvalues. 175-201

Volume 31, Number 2, 2009

• 
  Erik Elmroth, Stefan Johansson, Bo Kågström: Stratification of Controllability and Observability Pairs - Theory and Use in Applications. 203-226
• 
  Chun-Yueh Chiang, Eric King-Wah Chu, Chun-Hua Guo, Tsung-Ming Huang, Wen-Wei Lin, Shu-Fang Xu: Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case. 227-247
• 
  Lars Eldén, Berkant Savas: A Newton-Grassmann Method for Computing the Best Multilinear Rank-(r_1, r_2, r₃₎ Approximation of a Tensor. 248-271
• 
  F. Feitzinger, T. Hylla, Ekkehard W. Sachs: Inexact Kleinman-Newton Method for Riccati Equations. 272-288
• 
  Claude Dellacherie, Servet Martínez, Jaime San Martín: Hadamard Functions of Inverse M-Matrices. 289-315
• 
  Ivan V. Oseledets, D. V. Savostyanov, Eugene E. Tyrtyshnikov: Fast Simultaneous Orthogonal Reduction to Triangular Matrices. 316-330
• 
  Bibhas Adhikari, Rafikul Alam: Structured Backward Errors and Pseudospectra of Structured Matrix Pencils. 331-359
• 
  Michele Benzi: A Generalization of the Hermitian and Skew-Hermitian Splitting Iteration. 360-374
• 
  Luca Dieci, Alessandro Pugliese: Two-Parameter SVD: Coalescing Singular Values and Periodicity. 375-403
• 
  Raphael M. Jungers, Vladimir Protasov: Counterexamples to the Complex Polytope Extremality Conjecture. 404-409
• 
  Zhong-Zhi Bai, Michael K. Ng, Zeng-Qi Wang: Constraint Preconditioners for Symmetric Indefinite Matrices. 410-433
• 
  Michael J. O'Sullivan, Michael A. Saunders: Stabilizing Policy Improvement for Large-Scale Infinite-Horizon Dynamic Programming. 434-459
• 
  Michiel E. Hochstenbach, Yvan Notay: Controlling Inner Iterations in the Jacobi-Davidson Method. 460-477
• 
  Nicholas J. Higham, D. Steven Mackey, Françoise Tisseur: Definite Matrix Polynomials and their Linearization by Definite Pencils. 478-502
• 
  Tsung-Lin Lee, Tien-Yien Li, Zhonggang Zeng: A Rank-Revealing Method with Updating, Downdating, and Applications. Part II. 503-525
• 
  Fabio Di Benedetto: Gram Matrices of Fast Algebras Have a Rank Structure. 526-545
• 
  Delin Chu, Moody T. Chu, Wen-Wei Lin: Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over. 546-564
• 
  Christopher C. Paige: A Useful Form of Unitary Matrix Obtained from Any Sequence of Unit 2-Norm n-Vectors. 565-583
• 
  Chen Greif, James M. Varah: Iterative Solution of Skew-Symmetric Linear Systems. 584-601
• 
  Nicola Guglielmi, Marino Zennaro: Finding Extremal Complex Polytope Norms for Families of Real Matrices. 602-620
• 
  Andrew V. Knyazev, Klaus Neymeyr: Gradient Flow Approach to Geometric Convergence Analysis of Preconditioned Eigensolvers. 621-628
• 
  Thomas J. Laffey, Raphael Loewy, Helena Smigoc: Nonnegative Matrices That Are Similar to Positive Matrices. 629-649
• 
  Froilán M. Dopico, Charles R. Johnson: Parametrization of the Matrix Symplectic Group and Applications. 650-673
• 
  Haim Avron, Esmond Ng, Sivan Toledo: Using Perturbed QR Factorizations to Solve Linear Least-Squares Problems. 674-693
• 
  Haim Avron, Doron Chen, Gil Shklarski, Sivan Toledo: Combinatorial Preconditioners for Scalar Elliptic Finite-Element Problems. 694-720
• 
  Dennis Cheung, Felipe Cucker: Componentwise Condition Numbers of Random Sparse Matrices. 721-731
• 
  J. William Helton, Igor Klep, Raul Gomez: Determinant Expansions of Signed Matrices and of Certain Jacobians. 732-754
• 
  Jiawang Nie, Bernd Sturmfels: Matrix Cubes Parameterized by Eigenvalues. 755-766
• 
  Owe Axelsson, Radim Blaheta, Maya Neytcheva: Preconditioning of Boundary Value Problems Using Elementwise Schur Complements. 767-789
• 
  Tom Bella, Yuli Eidelman, Israel Gohberg, Israel Koltracht, Vadim Olshevsky: A Fast Björck-Pereyra-Type Algorithm for Solving Hessenberg-Quasiseparable-Vandermonde Systems. 790-815
• 
  Shu-Qian Shen, Ting-Zhu Huang, Yan-Fei Jing: On Inclusion and Exclusion Intervals for the Real Eigenvalues of Real Matrices. 816-830
• 
  Xiao-Wen Chang, Christopher C. Paige, David Titley-Péloquin: Stopping Criteria for the Iterative Solution of Linear Least Squares Problems. 831-852
• 
  Jörg Liesen, Petr Tichý: On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm. 853-863

Volume 31, Number 3, 2009

• 
  Vincent D. Blondel, Yurii Nesterov: Polynomial-Time Computation of the Joint Spectral Radius for Some Sets of Nonnegative Matrices. 865-876
• 
  Fei Xue, Howard C. Elman: Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration. 877-899
• 
  Shreemayee Bora: Structured Eigenvalue Condition Number and Backward Error of a Class of Polynomial Eigenvalue Problems. 900-917
• 
  Shuai Lu, Sergei V. Pereverzev, Ulrich Tautenhahn: Regularized Total Least Squares: Computational Aspects and Error Bounds. 918-941
• 
  Melina A. Freitag, Alastair Spence: Shift-Invert Arnoldi's Method with Preconditioned Iterative Solves. 942-969
• 
  Awad H. Al-Mohy, Nicholas J. Higham: A New Scaling and Squaring Algorithm for the Matrix Exponential. 970-989
• 
  Jorge Delgado, Juan Manuel Peña: Optimal Conditioning of Bernstein Collocation Matrices. 990-996
• 
  Alessandro Russo, Cristina Tablino Possio: Preconditioned Hermitian and Skew-Hermitian Splitting Method for Finite Element Approximations of Convection-Diffusion Equations. 997-1018
• 
  Mili I. Shah, Danny C. Sorensen: Best Nonspherical Symmetric Low Rank Approximation. 1019-1039
• 
  Brian D. Ewald, Jeffrey Humpherys, Jeremy M. West: Computing Expected Transition Events in Reducible Markov Chains. 1040-1054
• 
  Silvere Bonnabel, Rodolphe Sepulchre: Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank. 1055-1070
• 
  Xiao-Wen Chang, Gene H. Golub: Solving Ellipsoid-Constrained Integer Least Squares Problems. 1071-1089
• 
  Michael Ng, Liqun Qi, Guanglu Zhou: Finding the Largest Eigenvalue of a Nonnegative Tensor. 1090-1099
• 
  Vladimir Rokhlin, Arthur Szlam, Mark Tygert: A Randomized Algorithm for Principal Component Analysis. 1100-1124
• 
  William Anderson, Martin T. Wells: The Exact Distribution of the Condition Number of a Gaussian Matrix. 1125-1130
• 
  Chun-Hua Guo, Nicholas J. Higham, Françoise Tisseur: An Improved Arc Algorithm for Detecting Definite Hermitian Pairs. 1131-1151
• 
  Nicholas I. M. Gould, Valeria Simoncini: Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks. 1152-1171
• 
  Tomonari Kitahara, Takashi Tsuchiya: Proximity of Weighted and Layered Least Squares Solutions. 1172-1186
• 
  Delin Chu, Y. S. Hung, Hugo J. Woerdeman: Inertia and Rank Characterizations of Some Matrix Expressions. 1187-1226
• 
  S. D. Eubanks, J. J. McDonald: On a Generalization of Soules Bases. 1227-1234
• 
  Zhang Liu, Lieven Vandenberghe: Interior-Point Method for Nuclear Norm Approximation with Application to System Identification. 1235-1256
• 
  Marc Jungers, Cristian Oara, Hisham Abou-Kandil, Radu Stefan: General Matrix Pencil Techniques for Solving Discrete-Time Nonsymmetric Algebraic Riccati Equations. 1257-1278
• 
  Andreas Frommer, Behnam Hashemi: Verified Computation of Square Roots of a Matrix. 1279-1302
• 
  Yves Nievergelt: Why Lagrange Multipliers with Extreme Magnitudes Give Extrema of Definite Hermitian Forms on Quadric Surfaces. 1303-1328
• 
  Zlatko Drmac: A Global Convergence Proof for Cyclic Jacobi Methods with Block Rotations. 1329-1350
• 
  George Ostrouchov: A Matrix Computation View of FastMap and RobustMap Dimension Reduction Algorithms. 1351-1360
• 
  Wolf-Jürgen Beyn, Vera Thümmler: Continuation of Invariant Subspaces for Parameterized Quadratic Eigenvalue Problems. 1361-1381
• 
  Jianlin Xia, Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li: Superfast Multifrontal Method for Large Structured Linear Systems of Equations. 1382-1411
• 
  Peter Butkovic, Raymond A. Cuninghame-Green, Stéphane Gaubert: Reducible Spectral Theory with Applications to the Robustness of Matrices in Max-Algebra. 1412-1431
• 
  Yan Gao, Defeng Sun: Calibrating Least Squares Semidefinite Programming with Equality and Inequality Constraints. 1432-1457
• 
  G. W. Stewart: On the Semidefinite B-Arnoldi Method. 1458-1468
• 
  Alwin Stegeman, André L. F. de Almeida: Uniqueness Conditions for Constrained Three-Way Factor Decompositions with Linearly Dependent Loadings. 1469-1490
• 
  Carlos Beltrán, Jean-Pierre Dedieu, Gregorio Malajovich, Mike Shub: Convexity Properties of the Condition Number. 1491-1506
• 
  Qingxiang Xu, Chuanning Song, Yimin Wei: The Stable Perturbation of the Drazin Inverse of the Square Matrices. 1507-1520
• 
  Andrew V. Knyazev, Merico E. Argentati: Rayleigh-Ritz Majorization Error Bounds with Applications to FEM. 1521-1537
• 
  Andrzej Kielbasinski, Krystyna Zietak: Note on "A New Scaling for Newton's Iteration for the Polar Decomposition and Its Backward Stability" by R. Byers and H. Xu. 1538-1539

Volume 31, Number 4, 2010

• 
  Vartan Choulakian: Some Numerical Results on the Rank of Generic Three-Way Arrays over R. 1541-1551
• 
  Sandrine Bargiacchi-Soula, Jérôme Fehrenbach, Mohamed Masmoudi: From Linear to Nonlinear Large Scale Systems. 1552-1569
• 
  So Yeon Chun, Alexander Shapiro: Construction of Covariance Matrices with a Specified Discrepancy Function Minimizer, with Application to Factor Analysis. 1570-1583
• 
  Lei-Hong Zhang, Li-Zhi Liao, Michael K. Ng: Fast Algorithms for the Generalized Foley-Sammon Discriminant Analysis. 1584-1605
• 
  Yanxia Zhang, Li Qiu: From Subadditive Inequalities of Singular Values to Triangle Inequalities of Canonical Angles. 1606-1620
• 
  Amit Singer, Mihai Cucuringu: Uniqueness of Low-Rank Matrix Completion by Rigidity Theory. 1621-1641
• 
  Karl Meerbergen, Zhaojun Bai: The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides. 1642-1662
• 
  Eric Ngondiep, Stefano Serra Capizzano, Debora Sesana: Spectral Features and Asymptotic Properties for g-Circulants and g-Toeplitz Sequences. 1663-1687
• 
  Daniel Kressner, Christine Tobler: Krylov Subspace Methods for Linear Systems with Tensor Product Structure. 1688-1714
• 
  J. M. Tang, S. P. MacLachlan, Reinhard Nabben, Cornelis Vuik: A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. 1715-1739
• 
  Bernhard Beckermann, Stefan Güttel, Raf Vandebril: On the Convergence of Rational Ritz Values. 1740-1774
• 
  Erik S. Van Vleck: On the Error in the Product QR Decomposition. 1775-1791
• 
  Yun-Bin Zhao: The Legendre-Fenchel Conjugate of the Product of Two Positive Definite Quadratic Forms. 1792-1811
• 
  Cristobald de Kerchove, Paul Van Dooren: Iterative Filtering in Reputation Systems. 1812-1834
• 
  Kazufumi Ito, Karl Kunisch, Volker Schulz, Ilia Gherman: Approximate Nullspace Iterations for KKT Systems. 1835-1847
• 
  Oliver G. Ernst, Elisabeth Ullmann: Stochastic Galerkin Matrices. 1848-1872
• 
  Qiang Zhang, Richard T. Guy, Robert J. Plemmons: Matrix Structures and Parallel Algorithms for Image Superresolution Reconstruction. 1873-1893
• 
  Steven Delvaux, Maurice Duits: An Equilibrium Problem for the Limiting Eigenvalue Distribution of Rational Toeplitz Matrices. 1894-1914
• 
  Sk. Safique Ahmad, Rafikul Alam, Ralph Byers: On Pseudospectra, Critical Points, and Multiple Eigenvalues of Matrix Pencils. 1915-1933
• 
  Junfeng Lu, Zhenyue Zhang: A Modified Nonlinear Inexact Uzawa Algorithm with a Variable Relaxation Parameter for the Stabilized Saddle Point Problem. 1934-1957
• 
  Musheng Wei, Xuehan Cheng, Qian Wang: A Canonical Decomposition of the Right Invertible System with Applications. 1958-1981
• 
  Karl Meerbergen, Alastair Spence: Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems. 1982-1999
• 
  Zhaosong Lu: Adaptive First-Order Methods for General Sparse Inverse Covariance Selection. 2000-2016
• 
  Thomas J. Laffey, Helena Smigoc: Sufficient Conditions on Commutators for a Pair of Stable Matrices to Have a Common Solution to the Lyapunov Equation. 2017-2028
• 
  Lars Grasedyck: Hierarchical Singular Value Decomposition of Tensors. 2029-2054
• 
  Pavel Jiránek, David Titley-Péloquin: Estimating the Backward Error in LSQR. 2055-2074
• 
  Ruth F. Curtain, Leiba Rodman: Analytic Solutions of Matrix Riccati Equations with Analytic Coefficients. 2075-2092
• 
  Wim Michiels, Suat Gumussoy: Characterization and Computation of H_INFINITY Norms for Time-Delay Systems. 2093-2115
• 
  Milan Hladík, David Daney, Elias P. Tsigaridas: Bounds on Real Eigenvalues and Singular Values of Interval Matrices. 2116-2129
• 
  Ivan V. Oseledets: Approximation of 2^d˟2d Matrices Using Tensor Decomposition. 2130-2145
• 
  Vladimir Protasov, Raphaël M. Jungers, Vincent D. Blondel: Joint Spectral Characteristics of Matrices: A Conic Programming Approach. 2146-2162
• 
  Nicholas J. Higham, Christian Mehl, Françoise Tisseur: The Canonical Generalized Polar Decomposition. 2163-2180
• 
  Fernando de Terán, Froilán M. Dopico, D. Steven Mackey: Fiedler Companion Linearizations and the Recovery of Minimal Indices. 2181-2204
• 
  Vance Faber, Jörg Liesen, Petr Tichý: On Chebyshev Polynomials of Matrices. 2205-2221
• 
  Yariv Ephraim, Michael Tinston: Iterative Schur Complement and Multistage Wiener Filtering. 2222-2238

Volume 31, Number 5, 2010

• 
  Aubrey Clayton: Quasi-Birth-and-Death Processes and Matrix-Valued Orthogonal Polynomials. 2239-2260
• 
  Shiv Chandrasekaran, Patrick Dewilde, Ming Gu, N. Somasunderam: On the Numerical Rank of the Off-Diagonal Blocks of Schur Complements of Discretized Elliptic PDEs. 2261-2290
• 
  Roland Herzog, Ekkehard W. Sachs: Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints. 2291-2317
• 
  Marija Dodig, Marko Stosic: Combinatorics of Column Minimal Indices and Matrix Pencil Completion Problems. 2318-2346
• 
  Christopher C. Paige: An Augmented Stability Result for the Lanczos Hermitian Matrix Tridiagonalization Process. 2347-2359
• 
  Othmar Koch, Christian Lubich: Dynamical Tensor Approximation. 2360-2375
• 
  Nicola Mastronardi, Eugene E. Tyrtyshnikov, Paul Van Dooren: A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components. 2376-2399
• 
  Ken Hayami, Jun-Feng Yin, Tokushi Ito: GMRES Methods for Least Squares Problems. 2400-2430
• 
  Rafael Bru, José Marín, José Mas, Miroslav Tuma: Improved Balanced Incomplete Factorization. 2431-2452
• 
  Shu-Qian Shen, Ting-Zhu Huang, Juan Yu: Eigenvalue Estimates for Preconditioned Nonsymmetric Saddle Point Matrices. 2453-2476
• 
  Takeshi Ogita: Accurate Matrix Factorization: Inverse LU and Inverse QR Factorizations. 2477-2497
• 
  Alwin Stegeman: On Uniqueness of the nth Order Tensor Decomposition into Rank-1 Terms with Linear Independence in One Mode. 2498-2516
• 
  Yuning Yang, Qingzhi Yang: Further Results for Perron-Frobenius Theorem for Nonnegative Tensors. 2517-2530
• 
  Paola Favati, Grazia Lotti, Ornella Menchi: Stability of the Levinson Algorithm for Toeplitz-Like Systems. 2531-2552
• 
  Bart Vandereycken, Stefan Vandewalle: A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations. 2553-2579
• 
  Paola Boito, Jean-Pierre Dedieu: The Condition Metric in the Space of Rectangular Full Rank Matrices. 2580-2602
• 
  Rüdiger Borsdorf, Nicholas J. Higham, Marcos Raydan: Computing a Nearest Correlation Matrix with Factor Structure. 2603-2622
• 
  Amir Beck, Yonina C. Eldar: Structured Total Maximum Likelihood: An Alternative to Structured Total Least Squares. 2623-2649
• 
  Ming Gu, Xiaoye S. Li, Panayot S. Vassilevski: Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices. 2650-2664
• 
  Mathias Drton, Josephine Yu: On a Parametrization of Positive Semidefinite Matrices with Zeros. 2665-2680
• 
  Paul G. Constantine, David F. Gleich, Gianluca Iaccarino: Spectral Methods for Parameterized Matrix Equations. 2681-2699
• 
  Yuji Nakatsukasa, Zhaojun Bai, François Gygi: Optimizing Halley's Iteration for Computing the Matrix Polar Decomposition. 2700-2720
• 
  N. Mastronardi, M. Ng, E. E. Tyrtyshnikov: Decay in Functions of Multiband Matrices. 2721-2737
• 
  Paul Van Dooren, Kyle A. Gallivan, Pierre-Antoine Absil: H₂-Optimal Model Reduction with Higher-Order Poles. 2738-2753
• 
  Maxim A. Olshanskii, V. Simoncini: Acquired Clustering Properties and Solution of Certain Saddle Point Systems. 2754-2768
• 
  Peter Bürgisser, Felipe Cucker: Smoothed Analysis of Moore-Penrose Inversion. 2769-2783
• 
  Chun-Hua Guo, Wen-Wei Lin: Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm. 2784-2801
• 
  Julien M. Hendrickx, Alexander Olshevsky: Matrix p-Norms Are NP-Hard to Approximate If p!=q1, 2, INFINITY. 2802-2812
• 
  Catherine Elizabeth Powell, Elisabeth Ullmann: Preconditioning Stochastic Galerkin Saddle Point Systems. 2813-2840
• 
  Xiao-Wen Chang, Damien Stehlé: Rigorous Perturbation Bounds of Some Matrix Factorizations. 2841-2859
• 
  Michael Karow: Structured Pseudospectra and the Condition of a Nonderogatory Eigenvalue. 2860-2881
• 
  Bubacarr Bah, Jared Tanner: Improved Bounds on Restricted Isometry Constants for Gaussian Matrices. 2882-2898
• 
  Jianlin Xia, Ming Gu: Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices. 2899-2920
• 
  Lyonell Boulton, Peter Lancaster: Schur Decompositions of a Matrix and the Boundary of Its Pseudospectrum. 2921-2933
• 
  Joseph F. Grcar: Spectral Condition Numbers of Orthogonal Projections and Full Rank Linear Least Squares Residuals. 2934-2949
• 
  Thanh T. Ngo, Mohammed Bellalij, Yousef Saad: The Trace Ratio Optimization Problem for Dimensionality Reduction. 2950-2971
• 
  Lei-Hong Zhang: Riemannian Newton Method for the Multivariate Eigenvalue Problem. 2972-2996

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