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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)

- Daniel Steven Roche, Scott Cowan, Curtis Bright, Somit Gupta, Reinhold Burger, Mustafa Elsheik +28 others
- 2011

I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii Abstract Computations with polynomials are at the heart of any computer algebra system and also have many… (More)

- 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)

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