https://arxiv.org/abs/1611.02831

close this message

Donate to arXiv

Please join the Simons Foundation and our generous member
organizations in supporting arXiv during our giving campaign
September 23-27. 100% of your contribution will fund improvements and
new initiatives to benefit arXiv's global scientific community.

DONATE

[secure site, no need to create account]

Skip to main content
Cornell University
We gratefully acknowledge support from
the Simons Foundation and member institutions.
 
arXiv.org > cs > arXiv:1611.02831
[                    ]

Help | Advanced Search

[All fields        ]
Search
arXiv
Cornell University Logo
[                    ] GO
quick links

  * Login
  * Help Pages
  * About

Computer Science > Mathematical Software

arXiv:1611.02831 (cs)
[Submitted on 9 Nov 2016]

Title:Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval
Arithmetic

Authors:Fredrik Johansson
Download PDF

    Abstract: Arb is a C library for arbitrary-precision interval
    arithmetic using the midpoint-radius representation, also known
    as ball arithmetic. It supports real and complex numbers,
    polynomials, power series, matrices, and evaluation of many
    special functions. The core number types are designed for
    versatility and speed in a range of scenarios, allowing
    performance that is competitive with non-interval
    arbitrary-precision types such as MPFR and MPC floating-point
    numbers. We discuss the low-level number representation,
    strategies for precision and error bounds, and the implementation
    of efficient polynomial arithmetic with interval coefficients.

Comments: 12 pages, 1 figure
Subjects: Mathematical Software (cs.MS); Symbolic Computation
          (cs.SC); Numerical Analysis (math.NA)
Cite as:  arXiv:1611.02831 [cs.MS]
          (or arXiv:1611.02831v1 [cs.MS] for this version)

Submission history

From: Fredrik Johansson [view email]
[v1] Wed, 9 Nov 2016 06:23:37 UTC (262 KB)
Full-text links:

Download:

  * PDF
  * PostScript
  * Other formats

(license)
Current browse context:
cs.MS
< prev   |   next >
new | recent | 1611
Change to browse by:
cs
cs.NA
cs.SC

References & Citations

  * NASA ADS
  * Google Scholar
  * Semantic Scholar

DBLP - CS Bibliography

listing | bibtex
Fredrik Johansson
a export bibtex citation Loading...

Bibtex formatted citation

x
[loading...          ]
Data provided by:

Bookmark

BibSonomy logo Mendeley logo Reddit logo ScienceWISE logo
(*) Bibliographic Tools

Bibliographic and Citation Tools

[ ] Bibliographic Explorer Toggle
Bibliographic Explorer (What is the Explorer?)
( ) Code

Code Associated with this Article

[ ] arXiv Links to Code Toggle
arXiv Links to Code (What is Links to Code?)
( ) Related Papers

Recommenders and Search Tools

[ ] Connected Papers Toggle
Connected Papers (What is Connected Papers?)
[ ] Core recommender toggle
CORE Recommender (What is CORE?)
( ) About arXivLabs

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and
share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have
embraced and accepted our values of openness, community, excellence,
and user data privacy. arXiv is committed to these values and only
works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community?
Learn more about arXivLabs and how to get involved.

Which authors of this paper are endorsers? | Disable MathJax (What is
MathJax?)

  * About
  * Help

  * Click here to contact arXiv Contact
  * Click here to subscribe Subscribe

  * Copyright
  * Privacy Policy

  * Web Accessibility Assistance
  * arXiv Operational Status
    Get status notifications via email or slack