• 646 Citations
  • 16 h-Index
1982 …2019

Research output per year

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Research Output

2019

An algorithmic separating hyperplane theorem and its applications

Kalantari, B., Mar 15 2019, In : Discrete Applied Mathematics. 256, p. 59-82 24 p.

Research output: Contribution to journalArticle

1 Scopus citations

Newton–Ellipsoid polynomiography

Kalantari, B. & Lee, E. H., Oct 2 2019, In : Journal of Mathematics and the Arts. 13, 4, p. 336-352 17 p.

Research output: Contribution to journalArticle

2018

Robust vertex enumeration for convex hulls in high dimensions

Awasthi, P., Kalantari, B. & Zhang, Y., Jan 1 2018, p. 1387-1396. 10 p.

Research output: Contribution to conferencePaper

2014

A characterization theorem and an algorithm for a convex hull problem

Kalantari, B., Jan 1 2014, In : Annals of Operations Research. 226, 1, p. 301-349 49 p.

Research output: Contribution to journalArticle

5 Scopus citations
2013

Algorithms for quaternion polynomial root-finding

Kalantari, B., Jan 1 2013, In : Journal of Complexity. 29, 3-4, p. 302-322 21 p.

Research output: Contribution to journalArticle

17 Scopus citations

On properties of forbidden zones of polygons and polytopes

Berkowitz, R., Kalantari, B., Kalantari, I. & Menendez, D., Dec 1 2013, Transactions on Computational Science XX: Special Issue on Voronoi Diagrams and Their Applications. Gavrilova, M., Tan, C. J. K. & Kalantari, B. (eds.). p. 112-137 26 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 8110).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

The state of the art of voronoi diagram research

Kalantari, B., Dec 1 2013, Transactions on Computational Science XX: Special Issue on Voronoi Diagrams and Their Applications. p. 1-4 4 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 8110).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2012

Finding a lost treasure in convex hull of points from known distances

Kalantari, B., Dec 1 2012, p. 271-276. 6 p.

Research output: Contribution to conferencePaper

2 Scopus citations

Foreword from the Editors

Kalantari, B. & Gavrilova, M., Oct 3 2012, In : Proceedings of the 2012 9th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2012. p. vii-ix 6257677.

Research output: Contribution to journalEditorial

On properties of forbidden zones of polygons and polytopes

Berkowitz, R., Kalantari, B., Menendez, D. & Kalantari, I., Oct 3 2012, Proceedings of the 2012 9th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2012. p. 56-65 10 p. 6257657. (Proceedings of the 2012 9th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2012).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Voronoi diagram properties in polynomials with polynomiography applications and extensions

Kalantari, B., Oct 3 2012, Proceedings of the 2012 9th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2012. p. 32-40 9 p. 6257654. (Proceedings of the 2012 9th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2012).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations
2011

Alternating sign matrices and polynomiography

Kalantari, B., Nov 10 2011, In : Electronic Journal of Combinatorics. 18, 2, p. 1-22 22 p.

Research output: Contribution to journalArticle

4 Scopus citations

Mollified zone diagrams and their computation

De Biasi, S. C., Kalantari, B. & Kalantari, I., Nov 25 2011, Transactions on Computational Science XIV - Special Issue on Voronoi Diagrams and Delaunay Triangulation. p. 31-59 29 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 6970 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Polynomial Root-Finding Methods Whose Basins of Attraction Approximate Voronoi Diagram

Kalantari, B., Jul 1 2011, In : Discrete and Computational Geometry. 46, 1, p. 187-203 17 p.

Research output: Contribution to journalArticle

13 Scopus citations
2010
2 Scopus citations

Maximal zone diagrams and their computation

De Biasi, S. C., Kalantari, B. & Kalantari, I., Aug 23 2010, ISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering. p. 171-180 10 p. 5521422. (ISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations
2009

Voronoi diagrams and polynomial root-finding

Kalantari, B., Dec 1 2009, 6th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2009. p. 31-40 10 p. 5362425. (6th International Symposium on Voronoi Diagrams in Science and Engineering, ISVD 2009).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations
2008

On the complexity of general matrix scaling and entropy minimization via the RAS algorithm

Kalantari, B., Lari, I., Ricca, F. & Simeone, B., Apr 1 2008, In : Mathematical Programming. 112, 2, p. 371-401 31 p.

Research output: Contribution to journalArticle

22 Scopus citations

Polynomial root-finding and polynomiography

Kalantari, B., Jan 1 2008, World Scientific Publishing Co. 467 p.

Research output: Book/ReportBook

60 Scopus citations
2007

On general convergence in extracting radicals via a fundamental family of iteration functions

Jin, Y. & Kalantari, B., Sep 15 2007, In : Journal of Computational and Applied Mathematics. 206, 2, p. 832-842 11 p.

Research output: Contribution to journalArticle

2 Scopus citations
2006

A procedure of Chvátal for testing feasibility in linear programming and matrix scaling

Jin, Y. & Kalantari, B., Jul 15 2006, In : Linear Algebra and Its Applications. 416, 2-3, p. 795-798 4 p.

Research output: Contribution to journalArticle

8 Scopus citations
2005

An infinite family of bounds on zeros of analytic functions and relationship to smale's bound

Kalantari, B., Apr 1 2005, In : Mathematics of Computation. 74, 250, p. 841-852 12 p.

Research output: Contribution to journalArticle

18 Scopus citations

Polynomiography: From the fundamental theorem of Algebra to art

Kalantari, B., Jan 1 2005, In : Leonardo. 38, 3, p. 233-238 6 p.

Research output: Contribution to journalArticle

23 Scopus citations

Symmetric functions and root-finding algorithms

Jin, Y. & Kalantari, B., Jan 2005, In : Advances in Applied Mathematics. 34, 1, p. 156-174 19 p.

Research output: Contribution to journalArticle

5 Scopus citations
2004

Animation of mathematical concepts using polynomiography

Kalantari, B., Kalantari, I. & Andreev, F., Dec 1 2004, ACM SIGGRAPH 2004: Educators Program, SIGGRAPH'04. 1 p. (ACM SIGGRAPH 2004: Educators Program, SIGGRAPH'04).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Polynomiography and applications in art, education, and science

Kalantari, B., Jun 2004, In : Computers and Graphics (Pergamon). 28, 3, p. 417-430 14 p.

Research output: Contribution to journalArticle

26 Scopus citations
2003

Semidefinite programming and matrix scaling over the semidefinite cone

Kalantari, B., Dec 1 2003, In : Linear Algebra and Its Applications. 375, 1-3, p. 221-243 23 p.

Research output: Contribution to journalArticle

3 Scopus citations
2001
8 Scopus citations

A determinantal lower bound

Kalantari, B. & Pate, T. H., Mar 15 2001, In : Linear Algebra and Its Applications. 326, 1-3, p. 151-159 9 p.

Research output: Contribution to journalArticle

5 Scopus citations
2000
30 Scopus citations

New formulas for approximation of π and other transcendental numbers

Kalantari, B., Dec 1 2000, In : Numerical Algorithms. 24, 1-2, p. 59-81 23 p.

Research output: Contribution to journalArticle

4 Scopus citations

Newton's method and generation of a determinantal family of iteration functions

Kalantari, B. & Gerlach, J., Apr 1 2000, In : Journal of Computational and Applied Mathematics. 116, 1, p. 195-200 6 p.

Research output: Contribution to journalArticle

22 Scopus citations
1999

On the Order of Convergence of a Determinantal Family of Root-Finding Methods

Kalantari, B., Jan 1 1999, In : BIT Numerical Mathematics. 39, 1, p. 96-109 14 p.

Research output: Contribution to journalArticle

20 Scopus citations
1997

A basic family of iteration functions for polynomial root finding and its characterizations

Kalantari, B., Kalantari, I. & Zaare-Nahandi, R., May 5 1997, In : Journal of Computational and Applied Mathematics. 80, 2, p. 209-226 18 p.

Research output: Contribution to journalArticle

35 Scopus citations

On linear programming and matrix scaling over the algebraic numbers

Kalantari, B. & Emamy-K, M. R., Sep 1 1997, In : Linear Algebra and Its Applications. 262, 1-3, p. 283-306 24 p.

Research output: Contribution to journalArticle

3 Scopus citations

On the complexity of matrix balancing

Kalantari, B., Khachiyan, L. & Shokoufandeh, A., Apr 1997, In : SIAM Journal on Matrix Analysis and Applications. 18, 2, p. 450-463 14 p.

Research output: Contribution to journalArticle

21 Scopus citations
1996
7 Scopus citations

Magic labeling in graphs: Bounds, complexity, and an application to a variant of TSP

Kalantari, B. & Khosrovshahi, G. B., Dec 1996, In : Networks. 28, 4, p. 211-219 9 p.

Research output: Contribution to journalArticle

4 Scopus citations

On the complexity of nonnegative-matrix scaling

Kalantari, B. & Khachiyan, L., Jun 1996, In : Linear Algebra and Its Applications. 240, p. 87-103 17 p.

Research output: Contribution to journalArticle

34 Scopus citations
1993

A generalized hypergreedy algorithm for weighted perfect matching

Imielinska, C. & Kalantari, B., Jun 1 1993, In : BIT. 33, 2, p. 177-189 13 p.

Research output: Contribution to journalArticle

A greedy heuristic for a minimum-weight forest problem

Imielińska, C., Kalantari, B. & Khachiyan, L., Sep 1993, In : Operations Research Letters. 14, 2, p. 65-71 7 p.

Research output: Contribution to journalArticle

23 Scopus citations

On the rate of convergence of deterministic and randomized RAS matrix scaling algorithms

Kalantari, B. & Khachiyan, L., Dec 1993, In : Operations Research Letters. 14, 5, p. 237-244 8 p.

Research output: Contribution to journalArticle

12 Scopus citations

Sharp bounds for the maximum of the chi-square index in a class of contingency tables with given marginals

Kalantari, B., Lari, I., Rizzi, A. & Simeone, B., Jan 1 1993, In : Computational Statistics and Data Analysis. 16, 1, p. 19-34 16 p.

Research output: Contribution to journalArticle

7 Scopus citations
1992

Generalization of Karmarkar's algorithm to convex homogeneous functions

Kalantari, B., Mar 1992, In : Operations Research Letters. 11, 2, p. 93-98 6 p.

Research output: Contribution to journalArticle

1 Scopus citations
1990

An algorithm for quadratic zero‐one programs

Kalantari, B. & Bagchi, A., Jan 1 1990, In : Naval Research Logistics (NRL). 37, 4, p. 527-538 12 p.

Research output: Contribution to journalArticle

13 Scopus citations

Karmarkar's algorithm with improved steps

Kalantari, B., Jan 1 1990, In : Mathematical Programming. 46, 1-3, p. 73-78 6 p.

Research output: Contribution to journalArticle

6 Scopus citations
1989

Approximating the diameter of a set of points in the Euclidean space

Eg̃eciog̃lu, Ö. & Kalantari, B., Sep 1 1989, In : Information Processing Letters. 32, 4, p. 205-211 7 p.

Research output: Contribution to journalArticle

19 Scopus citations
1988

A New Class of Heuristic Algorithms for Weighted Perfect Matching

Grigoriadis, M. D. & Kalantari, B., Oct 1 1988, In : Journal of the ACM (JACM). 35, 4, p. 769-776 8 p.

Research output: Contribution to journalArticle

6 Scopus citations