SIAM Journal on Matrix Analysis and Applications, Volume 31

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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