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1

Numerically Solving Polynomial Systems with Bertini || Chapter 12: Intersection

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 178 KB

english, 2013

2

Numerically Solving Polynomial Systems with Bertini || Chapter 13: Singular Sets

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 169 KB

english, 2013

3

Numerically Solving Polynomial Systems with Bertini || Chapter 14: Real Solutions

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 2.32 MB

english, 2013

4

Numerically Solving Polynomial Systems with Bertini || Chapter 15: Applications to Algebraic Geometry

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 130 KB

english, 2013

5

Numerically Solving Polynomial Systems with Bertini || Chapter 16: Projections of Algebraic Sets

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 156 KB

english, 2013

6

Numerically Solving Polynomial Systems with Bertini || Appendices: Bertini Users Manual

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 342 KB

english, 2013

7

Numerical algebraic geometry: a new perspective on gauge and string theories

Dhagash Mehta, Yang-Hui He, Jonathan D. Hauensteine

Journal:

Journal of High Energy Physics

Year:

2012

Language:

english

File:

PDF, 508 KB

english, 2012

8

Numerically Solving Polynomial Systems with Bertini || Chapter 10: The Numerical Irreducible Decomposition

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 137 KB

english, 2013

9

Numerically Solving Polynomial Systems with Bertini || Chapter 11: Advanced Topics about Positive-Dimensional Solution Sets

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 169 KB

english, 2013

10

Numerically Solving Polynomial Systems with Bertini || Chapter 17: Big Polynomial Systems Arising from Differential Equations

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

File:

PDF, 223 KB

2013

11

Numerically Solving Polynomial Systems with Bertini || Chapter 2: Basic Polynomial Continuation

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 1.57 MB

english, 2013

12

Numerically Solving Polynomial Systems with Bertini || Chapter 9: Computing Witness Supersets

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 145 KB

english, 2013

13

Numerically Solving Polynomial Systems with Bertini || Chapter 4: Projective Space

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 198 KB

english, 2013

14

Numerically Solving Polynomial Systems with Bertini || Chapter 5: Types of Homotopies

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 274 KB

english, 2013

15

What is numerical algebraic geometry?

Hauenstein, Jonathan D., Sommese, Andrew J.

Journal:

Journal of Symbolic Computation

Year:

2016

Language:

english

File:

PDF, 557 KB

english, 2016

16

Numerically Solving Polynomial Systems with Bertini || Chapter 3: Adaptive Precision and Endgames

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 244 KB

english, 2013

17

Numerically Solving Polynomial Systems with Bertini || Chapter 6: Parameter Homotopies

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 414 KB

english, 2013

18

Numerically Solving Polynomial Systems with Bertini || Chapter 7: Advanced Topics about Isolated Solutions

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 191 KB

english, 2013

19

Numerically Solving Polynomial Systems with Bertini || Chapter 8: Positive-Dimensional Components

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

Language:

english

File:

PDF, 185 KB

english, 2013

20

Locating and Counting Equilibria of the Kuramoto Model with Rank-One Coupling

Coss, Owen, Hauenstein, Jonathan D., Hong, Hoon, Molzahn, Daniel K.

Journal:

SIAM Journal on Applied Algebra and Geometry

Year:

2018

Language:

english

File:

PDF, 568 KB

english, 2018

21

Numerically Solving Polynomial Systems with Bertini || Back Matter

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

File:

PDF, 8.48 MB

2013

22

A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations

Bates, Daniel J., Hauenstein, Jonathan D., Peterson, Chris, Sommese, Andrew J.

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 244 KB

english, 2009

23

Numerically Solving Polynomial Systems with Bertini || Chapter 1: Polynomial Systems

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

File:

PDF, 219 KB

2013

24

Numerically Solving Polynomial Systems with Bertini || Front Matter

Bates, Daniel J., Sommese, Andrew J., Hauenstein, Jonathan D., Wampler, Charles W.

Year:

2013

File:

PDF, 274 KB

2013

25

Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang

Journal:

Nonlinear Analysis: Real World Applications

Year:

2012

Language:

english

File:

PDF, 697 KB

english, 2012

26

Exceptional Stewart--Gough Platforms, Segre Embeddings, and the Special Euclidean Group

Hauenstein, Jonathan D., Sherman, Samantha N., Wampler, Charles W.

Journal:

SIAM Journal on Applied Algebra and Geometry

Year:

2018

Language:

english

File:

PDF, 984 KB

english, 2018

27

A bootstrapping approach for computing multiple solutions of differential equations

Hao, Wenrui, Hauenstein, Jonathan D., Hu, Bei, Sommese, Andrew J.

Journal:

Journal of Computational and Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 825 KB

english, 2014

28

Regenerative cascade homotopies for solving polynomial systems

Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 191 KB

english, 2011

29

Unification and extension of intersection algorithms in numerical algebraic geometry

Hauenstein, Jonathan D., Wampler, Charles W.

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 1.13 MB

english, 2017

30

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety

Bates, Daniel J., Decker, Wolfram, Hauenstein, Jonathan D., Peterson, Chris, Pfister, Gerhard, Schreyer, Frank-Olaf, Sommese, Andrew J., Wampler, Charles W.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 414 KB

english, 2014

31

Algebraic boundaries of Hilbert’s SOS cones

Blekherman, Grigoriy, Hauenstein, Jonathan, Ottem, John Christian, Ranestad, Kristian, Sturmfels, Bernd

Journal:

Compositio Mathematica

Year:

2012

Language:

english

File:

PDF, 536 KB

english, 2012

32

Algorithm 976

Brake, Daniel A., Bates, Daniel J., Hao, Wenrui, Hauenstein, Jonathan D., Sommese, Andrew J., Wampler, Charles W.

Journal:

ACM Transactions on Mathematical Software

Year:

2017

Language:

english

File:

PDF, 1.38 MB

english, 2017

33

Regeneration homotopies for solving systems of polynomials

Hauenstein, Jonathan D., Sommese, Andrew J., Wampler, Charles W.

Journal:

Mathematics of Computation

Year:

2010

Language:

english

File:

PDF, 691 KB

english, 2010

34

[IEEE 2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA) - Boca Raton, FL, USA (2019.12.16-2019.12.19)] 2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA) - Sampling Real Algebraic Varieties for Topological Data Analysis

Dufresne, Emilie, Edwards, Parker, Harrington, Heather, Hauenstein, Jonathan

Year:

2019

Language:

english

File:

PDF, 809 KB

english, 2019

35

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry

Bates, Daniel J., Hauenstein, Jonathan D., McCoy, Timothy M., Peterson, Chris, Sommese, Andrew J.

Journal:

Experimental Mathematics

Year:

2013

Language:

english

File:

PDF, 179 KB

english, 2013

36

Complexity of Linear Circuits and Geometry

Gesmundo, Fulvio, Hauenstein, Jonathan D., Ikenmeyer, Christian, Landsberg, J. M.

Journal:

Foundations of Computational Mathematics

Year:

2016

Language:

english

File:

PDF, 1.08 MB

english, 2016

37

Polynomials and the exponent of matrix multiplication

Chiantini, Luca, Hauenstein, Jonathan D., Ikenmeyer, Christian, Landsberg, Joseph M., Ottaviani, Giorgio

Journal:

Bulletin of the London Mathematical Society

Year:

2018

Language:

english

File:

PDF, 316 KB

english, 2018

38

Probabilistic Saturations and Altâs Problem

Hauenstein, Jonathan D., Helmer, Martin

Journal:

Experimental Mathematics

Year:

2020

File:

PDF, 1.33 MB

2020

39

[IEEE 2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) - Timisoara, Romania (2019.9.4-2019.9.7)] 2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) - Solving Critical Point Conditions for the Hamming and Taxicab Distances to Solution Sets of Polynomial Equations

Brake, Danielle A., Daleo, Noah S., Hauenstein, Jonathan D., Sherman, Samantha N.

Year:

2019

File:

PDF, 2.94 MB

2019

40

Efficient path tracking methods

Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese

Journal:

Numerical Algorithms

Year:

2011

Language:

english

File:

PDF, 259 KB

english, 2011

41

Real solutions to systems of polynomial equations and parameter continuation

Griffin, Zachary A., Hauenstein, Jonathan D.

Journal:

Advances in Geometry

Year:

2015

Language:

english

File:

PDF, 774 KB

english, 2015

42

Tensor decomposition and homotopy continuation

Bernardi, Alessandra, Daleo, Noah S., Hauenstein, Jonathan D., Mourrain, Bernard

Journal:

Differential Geometry and its Applications

Year:

2017

Language:

english

File:

PDF, 1.38 MB

english, 2017

43

Adaptive strategies for solving parameterized systems using homotopy continuation

Hauenstein, Jonathan D., Regan, Margaret H.

Journal:

Applied Mathematics and Computation

Year:

2018

Language:

english

File:

PDF, 1.96 MB

english, 2018

44

490 Prevalence of Antibodies to Adalimumab (ATA) and Correlation Between Ata and Low Serum Drug Concentration on CRP and Clinical Symptoms in a Prospective Sample of IBD Patients

Velayos, Fernando S., Sheibani, Sarah, Lockton, Steven, Hauenstein, Scott, Singh, Sharat, Terdiman, Jonathan P., Mahadevan, Uma

Journal:

Gastroenterology

Year:

2013

Language:

english

File:

PDF, 195 KB

english, 2013

45

A counter example to an ideal membership test

Hauenstein, Jonathan D.

Journal:

Advances in Geometry

Year:

2010

Language:

english

File:

PDF, 98 KB

english, 2010

46

An algebraic geometric method for calculating phase equilibria from fundamental equations of state

Sidky, Hythem, Liddell, Alan C, Mehta, Dhagash, Hauenstein, Jonathan D., Whitmer, Jonathan K

Journal:

Industrial & Engineering Chemistry Research

Year:

2016

Language:

english

File:

PDF, 1.15 MB

english, 2016

47

Equations for Lower Bounds on Border Rank

Hauenstein, Jonathan D., Ikenmeyer, Christian, Landsberg, J. M.

Journal:

Experimental Mathematics

Year:

2013

Language:

english

File:

PDF, 195 KB

english, 2013

48

Global structure of curves from generalized unitarity cut of three-loop diagrams

Hauenstein, Jonathan D., Huang, Rijun, Mehta, Dhagash, Zhang, Yang

Journal:

Journal of High Energy Physics

Year:

2015

Language:

english

File:

PDF, 659 KB

english, 2015

49

Singular Value Decomposition of Complexes

Brake, Danielle A., Hauenstein, Jonathan D., Schreyer, Frank-Olaf, Sommese, Andrew J., Stillman, Michael E.

Journal:

SIAM Journal on Applied Algebra and Geometry

Year:

2019

Language:

english

File:

PDF, 346 KB

english, 2019

50

Certification and the potential energy landscape

Mehta, Dhagash, Hauenstein, Jonathan D., Wales, David J.

Journal:

The Journal of Chemical Physics

Year:

2014

Language:

english

File:

PDF, 870 KB

english, 2014

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