• # INTLAB

• Referenced in 464 articles [sw04004]
• univariate and multivariate nonlinear equations (simple and clusters) eigenvalue problems (simple and clusters, also inner ... inclusions and structured matrices) generalized eigenvalue problems (simple and clusters) quadrature for univariate functions univariate ... computations, fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series...
• # NLEIGS

• Referenced in 31 articles [sw22547]
• fully rational Krylov methods for nonlinear eigenvalue problems. A new rational Krylov method ... efficient solution of nonlinear eigenvalue problems, $A(lambda)x = 0$, is proposed. This iterative method ... called fully rational Krylov method for nonlinear eigenvalue problems (abbreviated as NLEIGS), is based ... algorithm for solving the nonlinear eigenvalue problem...
• # CheFSI

• Referenced in 13 articles [sw22461]
• theory} (DFT) calculations for the electronic structure problem require a solution of the Kohn-Sham ... which requires one to solve a nonlinear eigenvalue problem. Solving the eigenvalue problem is usually...
• # HSL

• Referenced in 279 articles [sw00418]
• linear systems of equations and sparse eigenvalue problems. MATLAB interfaces are offered for selected packages ... interested in our optimization or nonlinear equation solving packages, our work in this area...
• # nonlinear_pseudoabscissa

• Referenced in 3 articles [sw28497]
• matrix polynomial, Bullet a delay eigenvalue problem, and are implementations of the approach described ... Pseudospectral Abscissa for Large Scale Nonlinear Eigenvalue Problems: We present an algorithm to compute ... pseudospectral abscissa for a nonlinear eigenvalue problem. The algorithm relies on global under-estimator ... algorithm does not require solutions of nonlinear eigenvalue problems, thereby further increasing efficiency and reliability...
• # Nek5000

• Referenced in 137 articles [sw08064]
• code Nek5000 to investigate the dynamics of nonlinear flows in moderately complex geometries ... direct and adjoint eigenmodes. The large eigenvalue problems are solved using matrix-free methods adopting...
• # NEP

• Referenced in 1 article [sw41147]
• module for the parallel solution of nonlinear eigenvalue problems in SLEPc. SLEPc is a parallel ... various types of large-scale eigenvalue problems. Over the past few years, we have been ... that is intended for solving nonlinear eigenvalue problems. These problems can be defined by means ... focus here on rational eigenvalue problems and other general nonlinear eigenproblems involving square roots...
• # StabilityStabilizationPTDS

• Referenced in 1 article [sw38318]
• operor or of a finite-dimensional nonlinear eigenvalue problem, whose solution is obtained by solving ... initial value problem. The stability assessment of a periodic time-delay system is determined ... method, considering the finite-dimensional nonlinear eigenvalue problem. The derivate of the Floquet multiplier with...
• # aicm

• Referenced in 11 articles [sw11487]
• eigenvalue problem for a Hamiltonian system of ordinary differential equations with nonlinear dependence ... points of increase are discontinuities at the eigenvalues, and the size of the discontinuity ... corresponding eigenvalue. The author describes two alternative approaches to the problem of computing the function...
• # FemaxxNano

• Referenced in 1 article [sw16819]
• heart of the physical problem. Since metals in the optical region of the electromagnetic spectrum ... dielectric media, we eventually obtain a nonlinear eigenvalue problem. We discretize the electromagnetic eigenvalue problem ... fully iterative scheme to solve the nonlinear problem for complex coefficient matrices that depend...
• # ENTWIFE

• Referenced in 18 articles [sw04255]
• equations.ENTWIFE has extensive capabilities for analysing nonlinear problems that may exhibit bifurcation phenomena. The program ... stability of previously computed solutions using eigenvalue techniques.ENTWIFE uses the free-format structured input language...
• # PLTMGC

• Referenced in 19 articles [sw01063]
• PLTMGC is a program package for solving nonlinear elliptic systems that have explicit dependence ... used to solve the linear eigenvalue problem, trace solution branches, locate singular points (simple turning...
• # bose.x

• Referenced in 4 articles [sw12712]
• harmonic and anharmonic traps. Nature of problem: It is widely believed that the static properties ... second-order, nonlinear, differential equation, is transformed into a matrix eigenvalue problem. Thereby, its solutions...
• # MARS

• Referenced in 5 articles [sw00549]
• authors describe their package MARS for solving nonlinear polynomial systems of equations, the theoretical basis ... system is reduced to a sparse eigenvalue problem, using Sylvester/Macaulay and Bézout type matrices...