kappa_SQ swMATH ID: 17877 Software Authors: Thomas Wentworth, Ilse Ipsen Description: kappa_SQ: A Matlab package for randomized sampling of matrices with orthonormal columns. The kappa_SQ software package is designed to assist researchers working on randomized row sampling. The package contains a collection of Matlab functions along with a GUI that ties them all together and provides a platform for the user to perform experiments. In particular, kappa_SQ is designed to do experiments related to the two-norm condition number of a sampled matrix, κ(SQ), where S is a row sampling matrix and Q is a tall and skinny matrix with orthonormal columns. Via a simple GUI, kappa_SQ can generate test matrices, perform various types of row sampling, measure κ(SQ), calculate bounds and produce high quality plots of the results. All of the important codes are written in separate Matlab function files in a standard format which makes it easy for a user to either use the codes by themselves or incorporate their own codes into the kappa_SQ package. Homepage: https://arxiv.org/abs/1402.0642 Dependencies: Matlab Related Software: Blendenpik; LSRN; LAPACK; SuitSparseQR; Julia; SuiteSparseQR; Algorithm 844; RandNLA; redbKIT; FIVEPOINT; alphaCertified; Bertini; NewtonLib; FMS; RESINVM3D; SPGL1; toms/782; RRQR; ScaLAPACK; mctoolbox Cited in: 11 Publications all top 5 Cited by 17 Authors 4 Ipsen, Ilse C. F. 2 Holodnak, John T. 2 Wentworth, Thomas 1 Arias-Castro, Ery 1 Ascher, Uri M. 1 Chi, Jocelyn T. 1 Drmač, Zlatko 1 Gallopoulos, Efstratios 1 Gugercin, Serkan 1 Hauenstein, Jonathan D. 1 Javanmard, Adel 1 Pelletier, Bruno 1 Regan, Margaret H. 1 Roosta-Khorasani, Farbod 1 Saibaba, Arvind Krishna 1 Sobczyk, Aleksandros 1 Trogdon, Thomsa all top 5 Cited in 7 Serials 4 SIAM Journal on Matrix Analysis and Applications 2 SIAM Journal on Scientific Computing 1 Applied Mathematics and Computation 1 Applied Mathematics Letters 1 Linear Algebra and its Applications 1 Vietnam Journal of Mathematics 1 Journal of Machine Learning Research (JMLR) all top 5 Cited in 7 Fields 8 Numerical analysis (65-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Statistics (62-XX) 2 Probability theory and stochastic processes (60-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) Citations by Year