An O (N log N) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices - With Application to Radial Basis Function Interpolation. - Sivaram Ambikasaran; Eric Darve (J. Sci. Comput., 2013)

The Inverse Fast Multipole Method. - Sivaram Ambikasaran; Eric Darve (CoRR, 2014)

Fast symmetric factorization of hierarchical matrices with applications. - Sivaram Ambikasaran; Michael O'Neil (CoRR, 2014)

A Kalman filter powered by H2-matrices for quasi-continuous data assimilation problems. - Judith Y. Li; Sivaram Ambikasaran; Eric Darve; Peter K. Kitanidis (CoRR, 2014)

A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions. - Jun Lai; Sivaram Ambikasaran; Leslie Greengard (SIAM J. Sci. Comput., 2014)

Generalized Rybicki Press algorithm. - Sivaram Ambikasaran (Numer. Linear Algebra Appl., 2015)

A fast block low-rank dense solver with applications to finite-element matrices. - Amirhossein Aminfar; Sivaram Ambikasaran; Eric Darve (J. Comput. Phys., 2016)

Fast Direct Methods for Gaussian Processes. - Sivaram Ambikasaran; Daniel Foreman-Mackey; Leslie Greengard; David W. Hogg; Michael O'Neil (IEEE Trans. Pattern Anal. Mach. Intell., 2016)

Fast, Adaptive, High-Order Accurate Discretization of the Lippmann-Schwinger Equation in Two Dimensions. - Sivaram Ambikasaran; Carlos Borges; Lise-Marie Imbert-Gérard; Leslie Greengard (SIAM J. Sci. Comput., 2016)

HODLRlib: A Library for Hierarchical Matrices. - Sivaram Ambikasaran; Karan Singh; Shyam Sankaran (J. Open Source Softw., 2019)

A new Nested Cross Approximation. - Vaishnavi Gujjula; Sivaram Ambikasaran (CoRR, 2022)

A new Directional Algebraic Fast Multipole Method based iterative solver for the Lippmann-Schwinger equation accelerated with HODLR preconditioner. - Vaishnavi Gujjula; Sivaram Ambikasaran (CoRR, 2022)

Numerical rank of singular kernel functions. - Ritesh Khan; V. A. Kandappan; Sivaram Ambikasaran (CoRR, 2022)

New algebraic fast algorithms for N-body problems in two and three dimensions. - Ritesh Khan; Sivaram Ambikasaran (CoRR, 2023)

HODLR2D: A New Class of Hierarchical Matrices. - V. A. Kandappan; Vaishnavi Gujjula; Sivaram Ambikasaran (SIAM J. Sci. Comput., 2023)

Algebraic Inverse Fast Multipole Method: A fast direct solver that is better than HODLR based fast direct solver. - Vaishnavi Gujjula; Sivaram Ambikasaran (J. Comput. Phys., 2024)

HODLRdD: A new black-box fast algorithm for N-body problems in d-dimensions with guaranteed error bounds: Applications to integral equations and support vector machines. - Ritesh Khan; V. A. Kandappan; Sivaram Ambikasaran (J. Comput. Phys., 2024)

HODLR3D: hierarchical matrices for N-body problems in three dimensions. - V. A. Kandappan; Vaishnavi Gujjula; Sivaram Ambikasaran (Numer. Algorithms, 2024)

A Hybrid Interpolation ACA Accelerated Method for Parabolic Boundary Integral Operators. - Sivaram Ambikasaran; Ritesh Khan; Johannes Tausch; Sihao Wang (SIAM J. Sci. Comput., 2025)