A Koopman operator-based prediction algorithm and its application to COVID-19 pandemic and influenza cases

Numerical Aspects and Software Tools for the Koopman Framework for Computational Data Driven Analysis of Dynamical Systems

Computational Tools for Koopman Spectral Analysis of Nonlinear Dynamical Systems

Numerical Linear Algebra Aspects of the Dynamic Mode Decomposition

Learning Low-Dimensional Dynamical-System Models from Noisy Frequency-Response Data with Loewner Rational Interpolation

New computational tools for Koopman spectral analysis of nonlinear dynamical systems

An Algorithm for the Complete Solution of the Quartic Eigenvalue Problem

Robust and reliable numerical linear algebra - applications and implementations

Chebyshev kernel polynomial method for efficient calculation of the quasiparticle random phase approximation response function

Predicting the Critical Number of Layers for Hierarchical Support Vector Regression

Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices

New numerical algorithm for deflation of infinite and zero eigenvalues and full solution of quadratic eigenvalue problems

Dynamic Mode Decomposition—A Numerical Linear Algebra Perspective

Revisiting IRKA: Connections with Pole Placement and Backward Stability

On Least Squares Problems with Certain Vandermonde- Khatri-Rao Structure with Applications to DMD

Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points

New Numerical Algorithm for Deflation of Infinite and Zero Eigenvalues and Full Solution of Quadratic Eigenvalue Problems

Data Driven Koopman Spectral Analysis in Vandermonde-Cauchy Form via the DFT: Numerical Method and Theoretical Insights

On variations of the Discrete Empirical Interpolation for nonlinear model reduction

Numerical aspects of the Koopman and the dynamic mode decomposition

New developments of the Discrete Empirical Interpolation Method

The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces

Parallel Solver for Shifted Systems in a Hybrid CPU--GPU Framework

Data Driven Modal Decompositions: Analysis and Enhancements

Baroreflex Physiology Using Koopman Mode Anal- ysis

New contributions to the theory and practice of the Discrete Empirical Interpolation Method

Parallel solver for shifted linear systems with application to model order reduction

Algorithm 977: A QR--Preconditioned QR SVD Method for Computing the SVD with High Accuracy

A New Selection Operator for the Discrete Empirical Interpolation Method : Improved A Priori Error Bound and Extensions

A hybrid algorithm for solving shifted linear systems

SVD of Hankel matrices in Vandermonde-Cauchy product form

Quadrature-based Vector Fitting for discretized H2 approximation

Vector Fitting for Matrix-valued Rational Approximation

A new framework for implicit restarting of the Krylov-Schur algorithm

A GPU algorithm for computing the frequency response

A new framework for polynomial filtering in implicitly restarted Arnoldi type algorithms

On Kac parameters and spectral decomposition of a matrix of specialized roots of Lie algebra $\mathfrak{sl}_n$

Efficient generalized Hessenberg form and applications

A reproducing-kernel framework for H2 model order reduction

Computing eigenvalues and singular values to high relative accuracy

Numerical implementation of the iterative rational Krylov algorithm for optimal H2 model order reduction

A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD

GPU algorithms for solving shifted systems with multiple right–hand sides

Accurate SVD of Cauchy-type matrices and applications

Pseudospectral Picture of the Seismic Algorithm for Surface Multiple Attenuation

Accurate and Stable Numerical Linear Algebra in Control

Numerical Implementation of the Iterative Rational Krylov Algorithm for Optimal H2 Model Reduction

Accurate and Stable Numerical Linear Algebra in Control

Efficient algorithms for solving shifted systems with multiple right–hand sides

A note on shifted Hessenberg systems and frequency response computation

New fast and accurate Jacobi SVD algorithm

Subspace gap residuals for Rayleigh-Ritz approximations

A global convergence proof for cyclic Jacobi methods with block rotations

Multigrid metode

An Implementation of the Iterative Rational Krylov Method for Optimal H2 Model Reduction

How a numerical rank revealing instability affects Computer Aided Control System Design

SIAM SIAG/Linear Algebra Prize

New fast and accurate Jacobi SVD algorithm. I

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New fast and accurate Jacobi SVD algorithm. II

On the Convergence of Block Kogbetliantz Methods for Calculating the SVD

On the failure of rank revealing QR factorization software : a case study

Computing Eigenvalues and Singular Values to High Relative Accuracy

On the Failure of Rank Revealing QR Factorization Software

New XGEQPF, XLAPF2, XLAQPS and XGEQP3 in LAPACK

Relative eigenvalue/eigenvector estimates for multi-scale problems in science and engineering

Closing the gap between fast and accurate SVD methods

On accuracy properties of one-sided bidiagonalization algorithm and its applications

A new stable bidiagonal reduction algorithm

A new stable bidiagonal reduction algorithm

Proceedings of the Conference on Applied Mathematics and Scientific Computing

New Jacobi-Type Algorithm for Computing the SVD

Eigenvalue computations -- state of the art and new challenging problems

New challenge in SVD computation -- can we have full accuracy at maximal speed?

Advances in Jacobi Methods

New fast implementation of the Jacobi SVD algorithm

New fast implementation of the Jacobi SVD algorithm

Fast accurate solution of eigenvalue and singular value problems

SGP Heuristics for One Machine Scheduling Problem

Applied Mathematics and Scientific Computing

On numerical properties of one-sided bidiagonalization algorithm

On Positive Semidefinite Matrices with Known Null Space

Rank deficient problems and numerical ranks with known structure

On Posititive Semidefinite Matrices with Known Null Space

Iterative methods for solving linear systems

Numerical computation of the partial eigenvalue problem for symmetric matrices

Accuracy and stability in numerical linear algebra

New Accurate Algorithms for Singular Value Decomposition of Matrix Triplets

Approximate eigenvectors as preconditioner

On Accurate Quotient Singular Value Computation in Floating-Point Arithmetic

Computing the Singular Value Decomposition with High Relative Accuracy

Matrices, Vector Spaces, and Information Retrieval

On Principal Angles Between Subspaces of Euclidean Space

A posteriori computation of the singular vectors in a preconditioned Jacobi SVD algorithm

Numeričko računanje matričnih dekompozicija i primjene

A tangent algorithm for computing the generalized singular value decomposition

Accurate computation of the product-induced singular value decomposition with applications

Implementation of Jacobi rotations for accurate singular value computation in floating-point arithmetic

On scaled almost diagonal Hermitian matrix pairs

Relative residual bounds for the eigenvalues of a Hermitian semidefinite matrix.

Generalized eigensolutions by Jacobi methods

On relative residual bound for the eigenvalues of a Hermitian matrix

On the condition behaviour in the Jacobi Method

On the quadratic convergence bounds for the J-symmetric Jacobi method