HODLR$d$D: A new Black-box fast algorithm for $N$-body problems in $d$-dimensions with guaranteed error bounds

Autor: Khan, Ritesh, Kandappan, V A, Ambikasaran, Sivaram

Publikováno v: Journal of Computational Physics, Volume 501, 2024

In this article, we prove new theorems bounding the rank of different sub-matrices arising from these kernel functions. Bounds like these are often useful for analyzing the complexity of various hierarchical matrix algorithms. We also plot the numeri

Externí odkaz: http://arxiv.org/abs/2209.05819

HODLR3D: hierarchical matrices for N-body problems in three dimensions.

Autor: A, Kandappan V., Gujjula, Vaishnavi, Ambikasaran, Sivaram

Publikováno v: Numerical Algorithms; Dec2024, Vol. 97 Issue 4, p1635-1672, 38p

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Numerical rank of kernel functions

Autor: Khan, Ritesh, Kandappan, V A, Ambikasaran, Sivaram

We study the rank of sub-matrices arising out of kernel functions, $F(\pmb{x},\pmb{y}): \mathbb{R}^d \times \mathbb{R}^d \mapsto \mathbb{R}$, where $\pmb{x},\pmb{y} \in \mathbb{R}^d$ with $F(\pmb{x},\pmb{y})$ is smooth everywhere except along the lin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f5871fe5afec716ff89674ae80d8b59
http://arxiv.org/abs/2209.05819

29LBA (PB-010) LBA Poster - A randomized, double-blind, phase III study in India to evaluate efficacy, safety, pharmacokinetics (PK), and immunogenicity of ZRC-3277 (pertuzumab biosimilar) in comparison with Perjeta® (pertuzumab) in patients with HER2-positive metastatic breast cancer

Autor: Kothari, R.¹ (AUTHOR), Doshi, M.² (AUTHOR), Chaithanya, P.K.³ (AUTHOR), Thungappa, S.C.⁴ (AUTHOR), Kumar, A.⁵ (AUTHOR), Mallavarapu, K.M.⁶ (AUTHOR), Nagarkar, R.⁷ (AUTHOR), Mahobia, V.⁸ (AUTHOR), Bhatt, N.⁹ (AUTHOR), Priyadarshini, K.L.¹⁰ (AUTHOR), Gogia, A.¹¹ (AUTHOR), Maksud, T.¹² (AUTHOR), Prasad, S.¹³ (AUTHOR), Kandappan, V.¹⁴ (AUTHOR), Krishnappa, R.L.¹⁵ (AUTHOR), Shanthemarahalli Shivanna, P.¹⁶ (AUTHOR), Talreja, V.¹⁷ (AUTHOR), Shrivastava, R.¹⁸ (AUTHOR), Parmar, D.¹⁹ (AUTHOR)

Publikováno v: European Journal of Cancer. Mar2024:Supplement 1, Vol. 200, pN.PAG-N.PAG. 1p.