Search Results - Computationally efficient matrix inversion algorithm

Unified frameworks for high order Newton-Schulz and Richardson iterations: a computationally efficient toolkit for convergence rate improvement by Stotsky, Alexander

“… Two unified frameworks (1) for convergence rate improvement of high order Newton-Schulz matrix inversion algorithms and (2…”
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Low-complexity signal detection for large-scale MIMO systems with second-order Richardson method by Khoso, Imran A, Zhang, Xiaofei, Shaikh, Abdul Hayee

“… In this Letter, a novel computationally efficient algorithm based on second-order Richardson method is proposed to solve the LS-MIMO detection problem…”
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Computationally-Efficient Overdetermined Blind Source Separation Based on Iterative Source Steering by Du, Yicheng, Scheibler, Robin, Togami, Masahito, Yoshii, Kazuyoshi, Kawahara, Tatsuya

“…) algorithm has been proposed for estimating a square demixing matrix as a computationally-efficient alternative to the popular iterative projection (IP) algorithm…”
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Recursive versus nonrecursive Richardson algorithms: systematic overview, unified frameworks and application to electric grid power quality monitoring by Stotsky, Alexander

“… The introduction of Newton-Schulz iterations is the efficient way for convergence rate improvement and the paper starts with systematic overview of the high-order Newton-Schulz matrix inversion algorithms…”
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A Low-Complexity Data Detection Algorithm for Massive MIMO Systems by Khoso, Imran A., Dai, Xiaoming, Irshad, M. Nauman, Khan, Ali, Wang, Xiyuan

“… Linear minimum mean-squared error (LMMSE) can achieve near-optimal performance but involves computationally expensive large-scale matrix inversions…”
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A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation by Mustafa, Almushaira

“… Because the resultant algorithm does not use matrix inversion, it is computationally efficient in long-time calculations…”
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Optimized experimental design for seismic full waveform inversion: A computationally efficient method including a flexible implementation of acquisition costs by Krampe, Valérie, Edme, Pascal, Maurer, Hansruedi

“… for seismic full waveform inversion. An ideal measure to quantify the goodness of an acquisition design relies on the eigenvalue spectrum of the approximate Hessian matrix, but this technique is computationally too expensive for practical use…”
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Robust Affine Projection KRSMPL Adaptive Filtering Algorithm and Its Application by Lv, Shaohui, Zhao, Haiquan, Xu, Wenjing

“… Since no matrix inversion is required, the proposed APKRSMPL algorithm is computationally efficient…”
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Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation by Almushaira, Mustafa

“…•They are unconditionally long-time stable and preserve the discrete energy conservation law.•Based on the FFT-based implementation, the methods are designed to reduce the computing costs of matrix multiplication while also using less memory…”
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Bayesian statistical ionospheric tomography improved by incorporating ionosonde measurements by Norberg, Johannes, Virtanen, Ilkka I., Roininen, Lassi, Vierinen, Juha, Orispää, Mikko, Kauristie, Kirsti, Lehtinen, Markku S.

“… as a sparse matrix approximation for the numerical computations. This results in a computationally efficient tomographic inversion algorithm with clear probabilistic interpretation…”
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Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine–Gordon equation with damping by Hu, Dongdong, Cai, Wenjun, Xu, Zhuangzhi, Bo, Yonghui, Wang, Yushun

“… The resulting algorithm is computationally efficient in long-time computations due to the fact that it does not involve matrix inversion…”
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New traveltime approximations for VTI media and estimation of the Thomsen parameters by Ortega, Francisco Gamboa, Bassrei, Amin, Zambrano, Francisco Cabrera

“… Computationally, the algorithm is efficient due to the use of small matrices…”
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High-order implicit time integration scheme based on Padé expansions by Song, Chongmin, Eisenträger, Sascha, Zhang, Xiaoran

“… efficient scheme is developed. An important feature of the novel algorithm is that no direct inversion of the mass matrix is required…”
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Radio interferometric gain calibration as a complex optimization problem by Smirnov, O. M., Tasse, C.

“…Recent developments in optimization theory have extended some traditional algorithms for least-squares optimization of real-valued functions (Gauss–Newton, Levenberg–Marquardt, etc…”
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A computationally efficient scheme for the inversion of large scale potential field data: Application to synthetic and real data by Wang, Jun, Meng, Xiaohong, Li, Fang

“… factor for adaptive sampling. Then, the conventional inversion algorithm in model space is transformed to data space, using the identity relationship between different matrices, which greatly reduces the memory…”
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Is single-step genomic REML with the algorithm for proven and young more computationally efficient when less generations of data are present? by Junqueira, Vinícius Silva, Lourenco, Daniela, Masuda, Yutaka, Cardoso, Fernando Flores, Lopes, Paulo Sávio, Silva, Fabyano Fonseca e, Misztal, Ignacy

“…Abstract Efficient computing techniques allow the estimation of variance components for virtually any traditional dataset…”
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Computationally Efficient Sparse Aperture ISAR Autofocusing and Imaging Based on Fast ADMM by Zhang, Shuanghui, Liu, Yongxiang, Li, Xiang

“… In this article, we propose a novel and computationally efficient ISAR autofocusing and imaging algorithm for sparse aperture…”
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Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations by Almushaira, Mustafa, Jing, Yan-Fei

“… Because the resultant algorithm does not use matrix…”
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Computationally efficient methods for large-scale atmospheric inverse modeling by Cho, Taewon, Chung, Julianne, Miller, Scot M., Saibaba, Arvind K.

“… In this article, we discuss computationally efficient methods for large-scale atmospheric inverse modeling and focus on addressing some of the main computational and practical challenges…”
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A Computationally Efficient Retrieval Algorithm for Hyperspectral Sounders Incorporating A Priori Information by Maddy, E.S., Barnet, C.D., Gambacorta, A.

“…In this letter, we describe a novel implementation scheme for the inversion of the radiative-transfer equation as encountered in satellite remote sensing and incorporating a priori information…”
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