Research Output per year

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Simplex Method
Mathematics

Linear programming
Mathematics

Number of Solutions
Mathematics

Upper bound
Mathematics

Polynomials
Engineering & Materials Science

Cones
Engineering & Materials Science

Newton-Raphson method
Engineering & Materials Science

Second-order Cone Programming
Mathematics

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Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2007 2019

### An extension of Chubanov’s algorithm to symmetric cones

Lourenço, B. F., Kitahara, T., Muramatsu, M. & Tsuchiya, T., Jan 23 2019, In : Mathematical Programming. 173, 1-2, p. 117-149 33 p.Research output: Contribution to journal › Article

Symmetric Cone

Cones

Semidefinite Programming

Intersection

Second-order Cone Programming

### A Simple Projection Algorithm for Linear Programming Problems

Kitahara, T. & Sukegawa, N., Jan 15 2019, In : Algorithmica. 81, 1, p. 167-178 12 p.Research output: Contribution to journal › Article

Projection Algorithm

Linear programming

Newton-Raphson method

Zonotope

Newton Methods

1
Citations

### An extension of Chubanov's polynomial-time linear programming algorithm to second-order cone programming

Kitahara, T. & Tsuchiya, T., Jan 2 2018, In : Optimization Methods and Software. 33, 1, p. 1-25 25 p.Research output: Contribution to journal › Article

Second-order Cone Programming

Linear programming

Cones

Polynomial time

Polynomials

### An approximation algorithm for the partial covering 0-1 integer program

Takazawa, Y., Mizuno, S. & Kitahara, T., Jan 1 2017, (Accepted/In press) In : Discrete Applied Mathematics.Research output: Contribution to journal › Article

Integer Program

Approximation algorithms

Approximation Algorithms

Covering

Partial

2
Citations

### A refinement of Todd's bound for the diameter of a polyhedron

Sukegawa, N. & Kitahara, T., Jan 1 2015, In : Operations Research Letters. 43, 5, p. 534-536 3 p.Research output: Contribution to journal › Article

Polyhedron

Refinement

Facet

High-dimensional

Valid