{"id":17654146,"url":"https://github.com/pnavaro/taylorexponentialmatrix.jl","last_synced_at":"2025-03-30T09:15:19.049Z","repository":{"id":94585720,"uuid":"235354039","full_name":"pnavaro/TaylorExponentialMatrix.jl","owner":"pnavaro","description":"Computing the matrix exponential with an optimized Taylor polynomial approximation","archived":false,"fork":false,"pushed_at":"2023-11-09T11:14:59.000Z","size":43,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-02-05T11:20:35.687Z","etag":null,"topics":["julia-language","matrix-exponential","matrix-exponentiation","taylor-polynomial"],"latest_commit_sha":null,"homepage":"","language":"Julia","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/pnavaro.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":"CITATION.bib","codeowners":null,"security":null,"support":null,"governance":null}},"created_at":"2020-01-21T13:53:20.000Z","updated_at":"2025-01-03T22:02:31.000Z","dependencies_parsed_at":"2023-04-06T10:26:38.520Z","dependency_job_id":null,"html_url":"https://github.com/pnavaro/TaylorExponentialMatrix.jl","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pnavaro%2FTaylorExponentialMatrix.jl","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pnavaro%2FTaylorExponentialMatrix.jl/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pnavaro%2FTaylorExponentialMatrix.jl/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/pnavaro%2FTaylorExponentialMatrix.jl/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/pnavaro","download_url":"https://codeload.github.com/pnavaro/TaylorExponentialMatrix.jl/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":246296608,"owners_count":20754635,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["julia-language","matrix-exponential","matrix-exponentiation","taylor-polynomial"],"created_at":"2024-10-23T12:08:50.514Z","updated_at":"2025-03-30T09:15:19.026Z","avatar_url":"https://github.com/pnavaro.png","language":"Julia","funding_links":[],"categories":[],"sub_categories":[],"readme":"# TaylorExponentialMatrix.jl\n\nThis is a julia translation of the matlab code available [here](http://www.gicas.uji.es/Research/MatrixExp.html).\n\n**Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation**\n\n**Philipp Bader** (Departament de Matemàtiques, Universitat Jaume I, Castellón, Spain), \n**Sergio Blanes** (Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Spain) \nand **Fernando Casas** (IMAC and Departament de Matemàtiques, Universitat Jaume I, Castellón, Spain)\n\n\n```julia\njulia\u003e using Pkg\n\njulia\u003e pkg\" add https://github.com/pnavaro/TaylorExponentialMatrix.jl\"\n\njulia\u003e A = rand(5,5)\n5×5 Array{Float64,2}:\n 0.0224285  0.160116   0.504822  0.370332   0.203693\n 0.861772   0.156394   0.178399  0.645844   0.229411\n 0.0630692  0.584537   0.358806  0.763173   0.410573\n 0.320181   0.391341   0.78607   0.619399   0.055634\n 0.450914   0.0945151  0.277274  0.0576302  0.560325\n\njulia\u003e exp(A) # version from LinearAlgebra\n5×5 Array{Float64,2}:\n 1.45688   0.636229  1.1295    1.13607   0.591914\n 1.41956   1.77159   1.2015    1.70089   0.734244\n 0.918259  1.29852   2.42545   2.00871   1.02066\n 1.04361   1.20838   1.88584   2.99255   0.655514\n 0.848529  0.454553  0.838875  0.638862  2.02498\n\njulia\u003e using TaylorExponentialMatrix\n\njulia\u003e expm2(A) # Version using Taylor polynomial aproximation (simple algorithm)\n5×5 Array{Float64,2}:\n 1.45688   0.636229  1.1295    1.13607   0.591914\n 1.41956   1.77159   1.2015    1.70089   0.734244\n 0.918259  1.29852   2.42545   2.00871   1.02066\n 1.04361   1.20838   1.88584   2.99255   0.655514\n 0.848529  0.454553  0.838875  0.638862  2.02498\n\njulia\u003e expm3(A) # Version using Taylor polynomial aproximation (sophisticated algorithm)\n5×5 Array{Float64,2}:\n 1.45688   0.636229  1.1295    1.13607   0.591914\n 1.41956   1.77159   1.2015    1.70089   0.734244\n 0.918259  1.29852   2.42545   2.00871   1.02066\n 1.04361   1.20838   1.88584   2.99255   0.655514\n 0.848529  0.454553  0.838875  0.638862  2.02498\n\n```\n\n# See also\n\n- [ExponentialUtilities.jl](https://github.com/JuliaDiffEq/ExponentialUtilities.jl): Utility functions used by the exponential integrators in [OrdinaryDiffEq.jl](https://github.com/JuliaDiffEq/OrdinaryDiffEq.jl)\n- [Expokit.jl](https://github.com/acroy/Expokit.jl): Julia implementation of EXPOKIT routines\n- [ExpMV.jl](https://github.com/matteoacrossi/ExpmV.jl): Julia package to compute the result of `expm(t*A)*v` when A is a sparse matrix, without computing `expm(t*A)`.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpnavaro%2Ftaylorexponentialmatrix.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fpnavaro%2Ftaylorexponentialmatrix.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpnavaro%2Ftaylorexponentialmatrix.jl/lists"}