Research Output per year

## Fingerprint Dive into the research topics where Tomonari Kitahara is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Simplex Method
Mathematics

Linear programming
Engineering & Materials Science

Number of Solutions
Mathematics

Upper bound
Mathematics

Polynomials
Engineering & Materials Science

Cones
Engineering & Materials Science

Newton-Raphson method
Engineering & Materials Science

Approximation Algorithms
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

### Approximation algorithms for the covering-type k-violation linear program

Takazawa, Y., Mizuno, S. & Kitahara, T., Jan 1 2019, In : Optimization Letters.Research output: Contribution to journal › Article

LP Relaxation

Linear Program

Approximation Algorithms

Covering

Mixed Integer Program

### 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

### Steepest-edge rule and its number of simplex iterations for a nondegenerate LP

Tano, M., Miyashiro, R. & Kitahara, T., May 1 2019, In : Operations Research Letters. 47, 3, p. 151-156 6 p.Research output: Contribution to journal › Article

Linear programming

Iteration

Simplex Method

Upper bound

Norm

3
Citations
(Scopus)

### 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