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#Numerical Linear Algebra

Showing: 16 courses
Simons Institute

Randomized Numerical Linear Algebra - Overview

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Explore randomized numerical linear algebra techniques for efficient matrix computations, covering sampling methods, error bounds, and applications to least-squares problems and SVD.
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18 Lesons
32 minutes
On-Demand
Free-Video
Simons Institute

Advanced Techniques for Low-Rank Matrix Approximation

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Explore cutting-edge methods for low-rank matrix approximation, including randomized algorithms and factorizations, with insights on efficiency and accuracy comparisons.
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12 Lesons
32 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Efficient Quantum Algorithm for Dissipative Nonlinear Differential Equations

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Explore efficient quantum algorithms for nonlinear differential equations, overcoming limitations through Carleman linearization. Discover potential applications in biology, fluid dynamics, and plasma physics.
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8 Lesons
38 minutes
On-Demand
Free-Video
International Mathematical Union

Numerical Stability of Algorithms at Extreme Scale and Low Precisions

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Explore numerical stability in extreme-scale computing and low-precision arithmetic, focusing on error bounds, blocked algorithms, and probabilistic analysis for matrix computations.
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29 Lesons
45 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Factorization-based Sparse Solvers and Preconditioners - Lecture 3

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Explore factorization-based sparse solvers and preconditioners, covering topics like minimum degree ordering, numerical pivoting, and sparse Gaussian elimination techniques.
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21 Lesons
1 hour 39 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

ME3255 - Linear Algebra, Condition Numbers, and Error

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Explore linear algebra concepts, condition numbers, and error analysis in numerical methods. Enhance problem-solving skills for engineering applications.
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1 Lesons
41 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Convergence Analysis and Parameter Choice for the Iterated Arnoldi-Tikhonov Method

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Explore convergence analysis and parameter selection for the iterated Arnoldi-Tikhonov method in this mathematical conference talk by Lothar Reichel.
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1 Lesons
23 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Quantum Approximate Optimization Algorithm and Local Max-Cut - IPAM at UCLA

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Explore quantum optimization algorithms, focusing on QAOA's application to LocalMaxCut. Discover insights on quantum supremacy and the performance comparison between local algorithms and QAOA on various graph instances.
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5 Lesons
28 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Heisenberg-Limited Ground State Energy Estimation for Early Fault-Tolerant Quantum Computers

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Explore Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers, featuring a simplified circuit and classical post-processing for improved efficiency.
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17 Lesons
33 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Optimal Scaling Quantum Linear Systems Solver via Discrete Adiabatic Theorem

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Explore optimal quantum linear systems solver using discrete adiabatic theorem, achieving linear complexity in condition number and precision, with simplified implementation and constant factor analysis.
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20 Lesons
41 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Quantum Linear Systems Problem - IPAM at UCLA

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Explore quantum algorithms for solving linear systems, including improved methods and complexity analysis, with a focus on potential exponential speedups and verification challenges.
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14 Lesons
34 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Fast Algorithms for Quantum Signal Processing - IPAM at UCLA

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Explore fast algorithms for quantum signal processing, focusing on optimization techniques, energy landscapes, and phase factor structures in quantum singular value transformation.
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16 Lesons
35 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Time-Dependent Hamiltonian Simulation of Highly Oscillatory Dynamics - IPAM at UCLA

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Explore highly oscillatory dynamics in quantum systems, focusing on efficient simulation algorithms for time-dependent Hamiltonians with applications in various scientific fields.
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11 Lesons
35 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Hierarchical Interpolative Factorization

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Explore efficient matrix factorization techniques for differential and integral operators, focusing on interpolative decomposition and its applications in various dimensions and problem types.
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19 Lesons
33 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

When Data Driven Reduced Order Modeling Meets Full Waveform Inversion - Rothschild Lecture

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Explore innovative approaches to velocity estimation in wave equation inverse problems, focusing on data-driven reduced order modeling and its application to full waveform inversion.
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1 Lesons
58 minutes
On-Demand
Free-Video
HUJI Machine Learning Club

Gauss-Legendre Features for Scalable Gaussian Process Regression

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Discover how Gauss-Legendre features enable efficient scaling of Gaussian process regression through low-rank kernel matrix approximation, offering faster computation for large datasets with poly-logarithmic feature requirements.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video