Search Results - Inverse factorization algorithms

Direct and inverse factorization algorithms of numbers by Melničenko, Grigorijus

“… Therefore, this algorithm can be called the direct trial division algorithm. We present the inverse trial division algorithm, which divides a given number N…”
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Convergence analysis of an algorithm for accurate inverse Cholesky factorization by Yanagisawa, Yuka, Ogita, Takeshi, Oishi, Shin’ichi

“… Following the results by Rump ( 1990 ), Oishi et al. ( 2007 , 2009 ) and Ogita ( 2010 ), Ogita and Oishi ( 2012 ) derived an iterative algorithm for an accurate inverse…”
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Matrices with banded inverses: inversion algorithms and factorization of Gauss-Markov processes by Kavcic, A., Moura, J.M.F.

“…The paper considers the inversion of full matrices whose inverses are L-banded. We derive a nested inversion algorithm for such matrices…”
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Parallelization and scalability analysis of inverse factorization using the chunks and tasks programming model by Artemov, Anton G., Rudberg, Elias, Rubensson, Emanuel H.

“… The three methods are a recursive variant of the AINV inverse Cholesky algorithm, iterative refinement, and localized inverse factorization…”
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An extended inner-outer factorisation algorithm based on the structure of a transfer function matrix inverse by Zhang, Wei, Zhao, Chunhui, He, Xing, Zhang, Weidong

“… Different from other computation algorithm, the obtained inner-outer factorisation is given in an analytical form…”
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An Efficient Algorithm for the Incremental Broad Learning System by Inverse Cholesky Factorization of a Partitioned Matrix by Zhu, Hufei, Liu, Zhulin, Chen, C. L. Philip, Liang, Yanyang

“… As a comparison, the proposed BLS algorithm computes the output weights from the inverse Cholesky factor of the Hermitian matrix in the calculation of the pseudoinverse, and updates the inverse…”
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An Improved Square-Root Algorithm for V-BLAST Based on Efficient Inverse Cholesky Factorization by Zhu, Hufei, Chen, Wen, Li, Bin, Gao, Feifei

“…A fast algorithm for inverse Cholesky factorization is proposed, to compute a triangular square-root of the estimation error covariance matrix for Vertical Bell Laboratories Layered Space-Time architecture (V-BLAST…”
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Linear-scaling selected inversion based on hierarchical interpolative factorization for self Green's function for modified Poisson-Boltzmann equation in two dimensions by Tu, Yihui, Pang, Qiyuan, Yang, Haizhao, Xu, Zhenli

“…•Linear scaling selected inverse of elliptic operators.•Fast solver for modified Poisson-Boltzmann equation…”
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Recursive inverse factorization by Rubensson, Emanuel H, Bock, Nicolas, Holmström, Erik, Niklasson, Anders M N

“…A recursive algorithm for the inverse factorization S(-1)=ZZ(*) of Hermitian positive definite matrices S is proposed…”
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On inverse factorization adaptive least-squares algorithms by Rontogiannis, Athanasios A., Theodoridis, Sergios

“…) system identification. The algorithm updates an inverse ‘square root’ factor of the input data correlation matrix, by applying numerically robust orthogonal Householder transformations…”
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Convergence of proximal algorithms with stepsize controls for non-linear inverse problems and application to sparse non-negative matrix factorization by Pham, Quy Muoi, Lachmund, Delf, Hào, Dinh Nho

“… These algorithms are then applied to the sparse and non-negative matrix factorization problems. Based on a priori information of non-negativity and sparsity of the exact solution, the problem is regularized…”
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An Inverse Factorization of Minimum Mersenne Number with a Specified Factor by Nakayama, Harunori, Anbe, Seiji

“… Because an efficient Wieferich prime exploration algorithm involves the investigation of a squared factor of Mersenne numbers with a prime exponent, we propose an inverse factorization algorithm…”
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Direct sampling algorithms based on the factorization method for inverse scattering by Harris, Isaac

“…We will discuss three direct sampling algorithms that can be used for recovering scatterers from far-field measurements…”
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GenoGAM 2.0: scalable and efficient implementation of genome-wide generalized additive models for gigabase-scale genomes by Stricker, Georg, Galinier, Mathilde, Gagneur, Julien

“… This is achieved by exploiting the sparsity of the model using the SuperLU direct solver for parameter fitting, and sparse Cholesky factorization together with the sparse inverse subset algorithm…”
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Application of supernodal sparse factorization and inversion to the estimation of (co)variance components by residual maximum likelihood by Masuda, Y, Baba, T, Suzuki, M

“…), which are often required in residual maximum likelihood (REML). Supernodal left‐looking and inverse multifrontal algorithms were employed for sparse factorization and inversion, respectively…”
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On the Methodological Implications of Extracting Muscle Synergies from Human Locomotion by Santuz, Alessandro, Ekizos, Antonis, Janshen, Lars, Baltzopoulos, Vasilios, Arampatzis, Adamantios

“… (GNMF) and inverse-Gaussian (IGNMF) non-negative matrix factorization algorithm on the extraction of muscle synergies from myoelectric signals during human walking and running…”
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Calculating the Moore–Penrose Generalized Inverse on Massively Parallel Systems by Stanojević, Vukašin, Kazakovtsev, Lev, Stanimirović, Predrag S., Rezova, Natalya, Shkaberina, Guzel

“…–Penrose inverse, the generalized Cholesky factorization, and Strassen’s matrix inversion algorithm…”
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Accurate Matrix Factorization: Inverse LU and Inverse QR Factorizations by Ogita, Takeshi

“…In this paper, algorithms for accurate matrix factorizations named inverse LU and inverse QR factorizations for extremely ill-conditioned matrices are proposed…”
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Efficient Square-Root and Division Free Algorithms for Inverse LDLT Factorization and the Wide-Sense Givens Rotation with Application to V-BLAST by Hufei Zhu, Wen Chen, Bin Li

“…We propose efficient square-root and division free algorithms for inverse LDL T factorization and the wide-sense Givens rotation, mainly for conventional multiply-add digital computers…”
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Efficient Inverse-Free Algorithms for Extreme Learning Machine Based on the Recursive Matrix Inverse and the Inverse LDL' Factorization by Zhu, Hufei, Wei, Chenghao

“…The inverse-free extreme learning machine (ELM) algorithm proposed in [4] was based on an inverse-free algorithm to compute the regularized pseudo-inverse…”
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