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1. Full Text A block Newton method for nonlinear eigenvalue problems
by Kressner, Daniel
Numerische Mathematik, ISSN 0029-599X, 11/2009, Volume 114, Issue 2, pp. 355 - 372
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis. Scientific computation | Numerical methods in probability and statistics | Numerical analysis | Global analysis, analysis on manifolds | Numerical linear algebra | Exact sciences and technology | Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds | Nonlinear algebraic and transcendental equations | Sciences and techniques of general use
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2. Full Text Norm and Trace Estimation with Random Rank-one Vectors
by Bujanovic, Zvonimir and Kressner, Daniel
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 01/2021, Volume 42, Issue 1, pp. 202 - 223
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3. Full Text A literature survey of low‐rank tensor approximation techniques
by Grasedyck, Lars and Kressner, Daniel and Tobler, Christine
Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik, ISSN 0936-7195, 08/2013, Volume 36, Issue 1, pp. 53 - 78
multivariate functions | linear systems | eigenvalue problems | low rank | tensor | Literature reviews | Tensors | Algebra | Approximation | Computation | Mathematical analysis | Tools
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4. Full Text Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems
by Kressner, Daniel and Tobler, Christine
Journal of computational methods in applied mathematics, ISSN 1609-4840, 2011, Volume 11, Issue 3, pp. 363 - 381
ALS | high-dimensional PDE eigenvalue problems | low-rank tensor methods | LOBPCG | DMRG | High-dimensional PDE eigenvalue problems | Low-rank tensor methods
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5. Full Text Fast computation of the matrix exponential for a toeplitz matrix
by Kressner, Daniel and Luce, Robert
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2018, Volume 39, Issue 1, pp. 23 - 47
Rational approximation | Toeplitz matrix | Option pricing | Displacement structure | Matrix exponential | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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6. Full Text Low-rank approximation in the frobenius norm by column and row subset selection
by CORTINOVIS, ALICE and KRESSNER, DANIEL
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2020, Volume 41, Issue 4, pp. 1651 - 1673
Tensors | Column subset selection | Low-rank approximation | Cross approximation
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7. Full Text Low-rank tensor completion by Riemannian optimization
by Kressner, Daniel and Kressner, Daniel and Steinlechner, Michael and Steinlechner, Michael and Vandereycken, Bart and Vandereycken, Bart
BIT Numerical Mathematics, ISSN 0006-3835, 6/2014, Volume 54, Issue 2, pp. 447 - 468
Reconstruction | 58C05 | Computational Mathematics and Numerical Analysis | 65K05 | Low-rank approximation | Numeric Computing | Mathematics | 15A69 | High-dimensionality | Riemannian optimization | Tensors | 65F99 | Mathematics, general | Tucker decomposition | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Mathematical optimization | Algorithms
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8. Full Text Low-rank tensor krylov subspace methods for parametrized linear systems
by Kressner, Daniel and Tobler, Christine
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2011, Volume 32, Issue 4, pp. 1288 - 1316
Parametrized linear system | Tensor | Krylov subspace methods | Low-rank approximation | Tucker decomposition | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis. Scientific computation | Algebra | Linear and multilinear algebra, matrix theory | Numerical analysis | Partial differential equations | Mathematical analysis | Numerical linear algebra | Exact sciences and technology | Algebraic geometry | Sciences and techniques of general use
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9. Full Text Reduced basis methods: From low-rank matrices to low-rank tensors
by Ballani, Jonas and Kressner, Daniel
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 4, pp. A2045 - A2067
Low-rank tensor | Reduced basis method | Parametric partial differential equation | Hierarchical tensor format | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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10. Full Text Krylov subspace methods for linear systems with tensor product structure
by Kressner, Daniel and Tobler, Christine
SIAM journal on matrix analysis and applications, ISSN 0895-4798, 2009, Volume 31, Issue 4, pp. 1688 - 1714
Linear systems | High dimensionality | Krylov subspace methods | Low tensor rank | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis. Scientific computation | Algebra | Linear and multilinear algebra, matrix theory | Numerical analysis | Mathematical analysis | Numerical linear algebra | Exact sciences and technology | Functional analysis | Algebraic geometry | Sciences and techniques of general use | Studies | Geometry | Linear equations | Combinatorics | Tensors | Approximation | Discretization | Mathematical models | Computational efficiency | Subspace methods
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11. Full Text Algorithm 941
: htucker---A Matlab Toolbox for Tensors in Hierarchical Tucker Format
by Kressner, Daniel and Tobler, Christine
ACM transactions on mathematical software, ISSN 0098-3500, 04/2014, Volume 40, Issue 3, pp. 1 - 22
tensor networks | Higher-order tensors | multilinear algebra | MATLAB | Tensor networks | Multilinear algebra | Physical Sciences | Technology | Computer Science | Mathematics | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Algebra | Mathematical software | Analysis | Tensors (Mathematics) | Tensors | Format | Algorithms | Approximation | Mathematical analysis | Tools | Computer programs | Matlab
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12. Full Text Recursive blocked algorithms for linear systems with Kronecker product structure
by Chen, Minhong and Kressner, Daniel
Numerical algorithms, ISSN 1017-1398, 07/2020, Volume 84, Issue 3, pp. 1199 - 1216
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Linear systems | Solvers | Economic models | Algorithms
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13. Full Text Block variants of Hammarling's method for solving Lyapunov equations
by Kressner, Daniel
ACM transactions on mathematical software, ISSN 0098-3500, 01/2008, Volume 34, Issue 1, pp. 1 - 15
numerical solution | block algorithm | Lyapunov equation | Numerical solution | Block algorithm | Physical Sciences | Technology | Computer Science | Mathematics | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Algebra | Linear and multilinear algebra, matrix theory | Exact sciences and technology | Sciences and techniques of general use | Liapunov functions | Algorithms | Analysis | Methods
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14. Numerical methods for general and structured eigenvalue problems
by Kressner, Daniel
2005, 1. Aufl., Lecture notes in computational science and engineering, ISBN 3540245464, Volume 46, xiv, 258
Eigenvalues | Matrix methods | Structural analysis (Engineering) | Computer science_xMathematics
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15. Full Text The periodic QR algorithm is a disguised QR algorithm
by Kressner, Daniel
Linear algebra and its applications, ISSN 0024-3795, 2006, Volume 417, Issue 2, pp. 423 - 433
QR algorithm | Matrix products | Block cyclic matrices | Mathematics | Algebra | Linear and multilinear algebra, matrix theory | Exact sciences and technology | Sciences and techniques of general use | Algorithms
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16. Full Text Preconditioned low-rank riemannian optimization for linear systems with tensor product structure
by Kressner, Daniel and Steinlechner, Michael and Vandereycken, Bart
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 4, pp. A2018 - A2044
Matrix product states | Tensors | High dimensionality | Tensor train | Low rank | Riemannian optimization | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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