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- Somit Gupta, Arne Storjohann
- ISSAC
- 2011

This paper presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a nonsingular <i>n</i> x <i>n</i> matrix <i>A</i> filled with degree <i>d</i> polynomials with coefficients from a field, the algorithm computes the Hermite form of <i>A</i> using an expected number of (<i>n</i>3<i>d</i>)<sup>1+o(1)</sup> field operations. This… (More)

- Somit Gupta, Soumojit Sarkar, Arne Storjohann, Johnny Valeriote
- J. Symb. Comput.
- 2012

- R. B. Bapat, Somit Gupta
- 2009

The wheel graph is the join of a single vertex and a cycle, while the fan graph is the join of a single vertex and a path. The resistance distance between any two vertices of a wheel and a fan are obtained. The resistances are related to Fibonacci numbers and generalized Fibonacci numbers. The derivation is based on evaluating determinants of submatrices of… (More)

- Pavel Dmitriev, Brian Frasca, Somit Gupta, Ron Kohavi, Garnet J. Vaz
- 2016 IEEE International Conference on Big Data…
- 2016

Online controlled experiments (e.g., A/B tests) are now regularly used to guide product development and accelerate innovation in software. Product ideas are evaluated as scientific hypotheses, and tested on web sites, mobile applications, desktop applications, services, and operating system features. One of the key challenges for organizations that run… (More)

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