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The volume is one of the central properties of a convex body, and volume computation is involved in many hard problems. Applications range from rather classical ones as in convex optimization to problems in remote fields like algebraic geometry where the number of common roots of polynomials can be related to a special polytope volume. Part of the fascination of the subject stems from the discrepancy between the intuitive notion of "volume" and the actual hardness of computing it. Despite this discouraging complexity - algorithms in general need exponential time in the input dimension - steadily growing computer power enables us to attack problems of practical interest. Vinci is an easy to install C package that implements the state of the art algorithms for volume computation. It is the fruit of a research project carried out at the IFOR (Institute for Operations Research) at ETH Zürich, in collaboration with Benno Büeler and Komei Fukuda.
Package | Summary | Distribution | Download |
vinci-1.0.5-27.fc41.aarch64.html | Algorithms for volume computation | Fedora Rawhide for aarch64 | vinci-1.0.5-27.fc41.aarch64.rpm |
vinci-1.0.5-27.fc41.aarch64.html | Algorithms for volume computation | Fedora 41 for aarch64 | vinci-1.0.5-27.fc41.aarch64.rpm |
vinci-1.0.5-27.fc41.ppc64le.html | Algorithms for volume computation | Fedora Rawhide for ppc64le | vinci-1.0.5-27.fc41.ppc64le.rpm |
vinci-1.0.5-27.fc41.ppc64le.html | Algorithms for volume computation | Fedora 41 for ppc64le | vinci-1.0.5-27.fc41.ppc64le.rpm |
vinci-1.0.5-27.fc41.s390x.html | Algorithms for volume computation | Fedora Rawhide for s390x | vinci-1.0.5-27.fc41.s390x.rpm |
vinci-1.0.5-27.fc41.s390x.html | Algorithms for volume computation | Fedora 41 for s390x | vinci-1.0.5-27.fc41.s390x.rpm |
vinci-1.0.5-27.fc41.x86_64.html | Algorithms for volume computation | Fedora Rawhide for x86_64 | vinci-1.0.5-27.fc41.x86_64.rpm |
vinci-1.0.5-27.fc41.x86_64.html | Algorithms for volume computation | Fedora 41 for x86_64 | vinci-1.0.5-27.fc41.x86_64.rpm |
vinci-1.0.5-26.fc40.aarch64.html | Algorithms for volume computation | Fedora 40 for aarch64 | vinci-1.0.5-26.fc40.aarch64.rpm |
vinci-1.0.5-26.fc40.ppc64le.html | Algorithms for volume computation | Fedora 40 for ppc64le | vinci-1.0.5-26.fc40.ppc64le.rpm |
vinci-1.0.5-26.fc40.s390x.html | Algorithms for volume computation | Fedora 40 for s390x | vinci-1.0.5-26.fc40.s390x.rpm |
vinci-1.0.5-26.fc40.x86_64.html | Algorithms for volume computation | Fedora 40 for x86_64 | vinci-1.0.5-26.fc40.x86_64.rpm |
vinci-1.0.5-25.fc39.aarch64.html | Algorithms for volume computation | Fedora 39 for aarch64 | vinci-1.0.5-25.fc39.aarch64.rpm |
vinci-1.0.5-25.fc39.ppc64le.html | Algorithms for volume computation | Fedora 39 for ppc64le | vinci-1.0.5-25.fc39.ppc64le.rpm |
vinci-1.0.5-25.fc39.s390x.html | Algorithms for volume computation | Fedora 39 for s390x | vinci-1.0.5-25.fc39.s390x.rpm |
vinci-1.0.5-25.fc39.x86_64.html | Algorithms for volume computation | Fedora 39 for x86_64 | vinci-1.0.5-25.fc39.x86_64.rpm |
vinci-1.0.5-1.4.aarch64.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for aarch64 | vinci-1.0.5-1.4.aarch64.rpm |
vinci-1.0.5-1.4.armv6hl.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for armv6hl | vinci-1.0.5-1.4.armv6hl.rpm |
vinci-1.0.5-1.4.armv7hl.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for armv7hl | vinci-1.0.5-1.4.armv7hl.rpm |
vinci-1.0.5-1.4.i586.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for i586 | vinci-1.0.5-1.4.i586.rpm |
vinci-1.0.5-1.4.s390x.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for s390x | vinci-1.0.5-1.4.s390x.rpm |
vinci-1.0.5-1.3.ppc64le.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for ppc64le | vinci-1.0.5-1.3.ppc64le.rpm |
vinci-1.0.5-1.3.x86_64.html | Polytope volume computation program | OpenSuSE Tumbleweed for x86_64 | vinci-1.0.5-1.3.x86_64.rpm |
vinci-1.0.5-1.1.riscv64.html | Polytope volume computation program | OpenSuSE Ports Tumbleweed for riscv64 | vinci-1.0.5-1.1.riscv64.rpm |
vinci-1.0.5-lp160.1.1.aarch64.html | Polytope volume computation program | OpenSuSE Leap 16.0 for aarch64 | vinci-1.0.5-lp160.1.1.aarch64.rpm |
vinci-1.0.5-lp160.1.1.ppc64le.html | Polytope volume computation program | OpenSuSE Leap 16.0 for ppc64le | vinci-1.0.5-lp160.1.1.ppc64le.rpm |
vinci-1.0.5-lp160.1.1.s390x.html | Polytope volume computation program | OpenSuSE Leap 16.0 for s390x | vinci-1.0.5-lp160.1.1.s390x.rpm |
vinci-1.0.5-lp160.1.1.x86_64.html | Polytope volume computation program | OpenSuSE Leap 16.0 for x86_64 | vinci-1.0.5-lp160.1.1.x86_64.rpm |
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