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(1998).\n\u003e Lanczos bidiagonalization with partial reorthogonalization.\n\u003e Department of Computer Science, Aarhus University, Technical report, DAIMI PB-357.\n\n## How to Cite\n\nIf you use PROPACK.jl in your work, please cite using the format given in [`CITATION.bib`](https://github.com/JuliaSmoothOptimizers/PROPACK.jl/blob/main/CITATION.bib).\n\n## How to Install\n\n```julia\njulia\u003e ]\npkg\u003e add PROPACK\npkg\u003e test PROPACK\n```\n\nVersion 0.5.0 of PROPACK.jl requires at least Julia 1.8.\n\n## Examples\n\n### Compute leading singular triplets\n\n```julia\nU, s, V, bnd, nprod, ntprod = tsvd(A, k=3)  # 3 largest singular values and their singular vectors\n```\n\n### Compute leading singular values only\n\n```julia\ns, bnd, nprod, ntprod = tsvdvals(A, k=3)\n```\n\n### Compute smallest singular triplets\n\nMake sure `A` is square or short and wide to avoid the trailing zero singular values:\n\n```julia\nU, s, V, bnd, nprod, ntprod = tsvd_irl(A, k=2)\n```\n\n### Compute smallest singular values\n\n```julia\ns, bnd, nprod, ntprod = tsvdvals_irl(A, k=2)\n```\n\n## Bug reports and discussions\n\nIf you think you found a bug, feel free to open an [issue](https://github.com/JuliaSmoothOptimizers/PROPACK.jl/issues).\nFocused suggestions and requests can also be opened as issues. Before opening a pull request, start an issue or a discussion on the topic, please.\n\nIf you want to ask a question not suited for a bug report, feel free to start a discussion [here](https://github.com/JuliaSmoothOptimizers/Organization/discussions). This forum is for general discussion about this repository and the [JuliaSmoothOptimizers](https://github.com/JuliaSmoothOptimizers) organization, so questions about any of our packages are welcome.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjuliasmoothoptimizers%2Fpropack.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fjuliasmoothoptimizers%2Fpropack.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjuliasmoothoptimizers%2Fpropack.jl/lists"}