| Publication | Date of Publication | Type |
|---|
| Discrete Lotka-Volterra with shift algorithm for computing matrix eigenvalues and singular values | 2023-10-13 | Paper |
| Discrete hungry integrable systems -- 40 years from the Physica D paper by W. W. Symes | 2022-09-01 | Paper |
| Box and ball system with numbered boxes | 2022-05-17 | Paper |
| Convergence acceleration of shifted \(LR\) transformations for totally nonnegative Hessenberg matrices. | 2020-12-15 | Paper |
| Eigenvalue clustering of coefficient matrices in the iterative stride reductions for linear systems | 2020-10-11 | Paper |
| Extension of the Lanczos-Phillips algorithm with Laurent biorthogonal polynomials and its application to the Thron continued fractions | 2020-01-27 | Paper |
| Implementation details of an extended oqds algorithm for singular values | 2019-03-18 | Paper |
| Application of the Lanczos-Phillips algorithm to continued fractions and its extension with orthogonal polynomials | 2019-03-18 | Paper |
| An application of the Kato-Temple inequality on matrix eigenvalues to the dqds algorithm for singular values | 2019-03-15 | Paper |
| Periodic convergence in the discrete hungry Toda equation | 2018-10-16 | Paper |
| Asymptotic analysis of non-autonomous discrete hungry integrable systems | 2018-09-27 | Paper |
| An application of the discrete-time Toda lattice to the progressive algorithm by Lanczos and related problems | 2018-06-07 | Paper |
| An arbitrary band structure construction of totally nonnegative matrices with prescribed eigenvalues | 2017-10-06 | Paper |
| An extended Fibonacci sequence associated with the discrete hungry Lotka–Volterra system | 2017-04-20 | Paper |
| An asymptotic analysis for an integrable variant of the Lotka–Volterra prey–predator model via a determinant expansion technique | 2016-06-24 | Paper |
| Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system | 2016-03-07 | Paper |
| A finite-step construction of totally nonnegative matrices with specified eigenvalues | 2015-11-17 | Paper |
| A tridiagonal matrix construction by the quotient difference recursion formula in the case of multiple eigenvalues | 2015-11-10 | Paper |
| Conserved quantities of the integrable discrete hungry systems | 2015-08-06 | Paper |
| Accurate similarity transformation derived from the discrete Lotka-Volterra system for bidiagonal singular values | 2015-03-23 | Paper |
| Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form | 2015-03-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2935578 | 2014-12-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2935586 | 2014-12-30 | Paper |
| Positivity of dLV and mdLVs algorithms for computing singular values | 2014-04-25 | Paper |
| Optimization of the Multishift QR Algorithm with Coprocessors for Non-Hermitian Eigenvalue Problems | 2014-04-04 | Paper |
| On the qd-type discrete hungry Lotka-Volterra system and its application to the matrix eigenvalue algorithm | 2013-11-19 | Paper |
| On parallelism of the I-SVD algorithm with a multi-core processor | 2013-11-19 | Paper |
| An asymptotic expansion of the Casorati determinant and its application to discrete integrable systems | 2013-10-09 | Paper |
| Integrable discrete hungry systems and their related matrix eigenvalues | 2013-06-20 | Paper |
| Asymptotic analysis for an extended discrete Lotka–Volterra system related to matrix eigenvalues | 2013-04-22 | Paper |
| On a shifted \(LR\) transformation derived from the discrete hungry Toda equation | 2013-04-09 | Paper |
| Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation | 2012-12-21 | Paper |
| Error analysis of the mdLVs algorithm for computing bidiagonal singular values | 2012-12-21 | Paper |
| On Implementation and Evaluation of Inverse Iteration Algorithm with compact WY Orthogonalization | 2012-09-10 | Paper |
| A Bäcklund transformation between two integrable discrete hungry systems | 2012-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3087317 | 2011-08-16 | Paper |
| On condition numbers in the cyclic reduction processes of a tridiagonal matrix | 2011-01-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3633523 | 2009-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3619362 | 2009-04-03 | Paper |
| The discrete hungry Lotka–Volterra system and a new algorithm for computing matrix eigenvalues | 2009-01-30 | Paper |
| Center manifold approach to discrete integrable systems related to eigenvalues and singular values | 2008-04-03 | Paper |
| A new conservative numerical integration algorithm for the three-dimensional Kepler motion based on the Kustaanheimo-Stiefel regularization theory | 2007-12-04 | Paper |
| Accurate computation of singular values in terms of shifted integrable schemes | 2007-02-05 | Paper |
| New numerical integrator for the Stäckel system conserving the same number of constants of motion as the degree of freedom | 2006-08-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5476938 | 2006-07-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5476939 | 2006-07-20 | Paper |
| Padé approximation of Laplace transforms of some special functions in terms of Painlevé equations | 2005-04-05 | Paper |
| An application of the discrete Lotka–Volterra system with variable step-size to singular value computation | 2004-08-23 | Paper |
| Special solutions of the Toda chain and combinatorial numbers | 2004-08-23 | Paper |
| On the convergence of a solution of the discrete Lotka Volterra system | 2003-03-19 | Paper |
| Schur flow for orthogonal polynomials on the unit circle and its integrable discretization | 2003-02-27 | Paper |
| A new discretization of the Kepler motion which conserves the Runge-Lenz vector | 2003-01-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4534576 | 2002-09-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4548250 | 2002-08-26 | Paper |
| Determinantal solutions of solvable chaotic systems | 2002-08-22 | Paper |
| The discrete Lotka-Volterra system computes singular values | 2001-12-12 | Paper |
| The discrete relativistic Toda molecule equation and a Padé approximation algorithm | 2001-10-31 | Paper |
| Algorithms associated with arithmetic, geometric and harmonic means and integrable systems | 2001-07-23 | Paper |
| On self-dual Yang-Mills hierarchy | 2001-03-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4505603 | 2000-09-27 | Paper |
| Integrable discretization of the modified KdV equation and applications | 2000-05-17 | Paper |
| On an integrable discretization of integrable systems with a separatrix. | 2000-03-08 | Paper |
| The BCH-Goppa decoding as a moment problem and a tau function over finite fields. | 2000-03-07 | Paper |
| On the discretization of the three-dimensional Volterra system | 2000-02-06 | Paper |
| A tau-function of the finite nonperiodic Toda lattice | 2000-02-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4703092 | 1999-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4703227 | 1999-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4704161 | 1999-12-02 | Paper |
| An Extension of the Steffensen Iteration and Its Computational Complexity. | 1999-04-29 | Paper |
| Integrable deformation of Gaussian distribution and the Ornstein-Uhlenbeck process | 1999-01-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4389361 | 1998-11-01 | Paper |
| Calculating Laplace Transforms in Terms of the Toda Molecule | 1998-09-21 | Paper |
| On explicit solvable gradient systems of Moser-Karmarkar type | 1997-07-03 | Paper |
| Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions | 1995-10-22 | Paper |
| Gradient systems associated with probability distributions | 1995-04-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4328360 | 1995-04-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4281141 | 1994-09-28 | Paper |
| Lax pair and fixed point analysis of Karmarkar's projective scaling trajectory for linear programming | 1994-05-24 | Paper |
| Neurodynamics and nonlinear integrable systems of Lax type | 1994-05-24 | Paper |
| Periodic reduction of self-dual Yang–Mills equations | 1994-03-20 | Paper |
| Completely integrable gradient systems on the manifolds of Gaussian and multinomial distributions | 1993-12-20 | Paper |
| Erratum: A new nonlinear dynamical system that leads to eigenvalues | 1993-01-16 | Paper |
| The Level Manifold of a Generalized Toda Equation Hierarchy | 1992-11-29 | Paper |
| A new nonlinear dynamical system that leads to eigenvalues | 1992-06-28 | Paper |
| Geometry of Rational Functions and Nonlinear Integrable Systems | 1992-06-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3974802 | 1992-06-26 | Paper |
| Self-dual Yang–Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions | 1992-06-25 | Paper |
| Remarks on the moduli space of SU(2) monopoles and Toda flow | 1990-01-01 | Paper |
| Nonlinear integrable flow on the framed moduli space of instantons | 1990-01-01 | Paper |
| Moduli space of SU(2) monopoles and complex cyclic-Toda hierarchy | 1990-01-01 | Paper |
| A New Approach to the Linear Prediction Problem for Infinite Stationary Processes in Terms of Riemann-Hilbert Transformation Theory | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3826997 | 1989-01-01 | Paper |
| Fractional transformation group induced by QR factorization and linear prediction problem | 1988-01-01 | Paper |
| Solution space of discrete Wiener-Hopf equations and Grassmann manifold | 1988-01-01 | Paper |
| Group Actions on Linear Predictors for Nonstationary Processes | 1988-01-01 | Paper |
| Transformation group acting on a self-dual Yang–Mills hierarchy | 1988-01-01 | Paper |
| On a linearisation of the stationary axially symmetric Einstein equations | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4721468 | 1987-01-01 | Paper |
| On the Riemann-Hilbert transformations for a Galilean invariant system | 1986-01-01 | Paper |
| On Heisenberg models with values in Hermitian symmetric spaces | 1985-01-01 | Paper |
| Transformation theory for anti-self-dual equations | 1983-01-01 | Paper |
| Ehlers-type transformation for SL(2,C) self-dual equations of gauge theory | 1983-01-01 | Paper |
| Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3677221 | 1983-01-01 | Paper |
| On the construction of exact solutions of the stationary axially symmetric Einstein equations | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3852590 | 1979-01-01 | Paper |
