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2010
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14 years 10 months ago
Matrix interpretation of multiple orthogonality
Abstract: In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials. We rewrite this recurrence relati...
Amílcar Branquinho, Luis Cotrim, Ana Foulqu...
NA
2010
118views more  NA 2010»
14 years 10 months ago
Practical Quasi-Newton algorithms for singular nonlinear systems
Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative met...
Sandra Buhmiler, Natasa Krejic, Zorana Luzanin
NA
2010
117views more  NA 2010»
14 years 10 months ago
A fast solver for linear systems with displacement structure
We describe a fast solver for linear systems with reconstructible Cauchylike structure, which requires O(rn2 ) floating point operations and O(rn) memory locations, where n is th...
Antonio Arico, Giuseppe Rodriguez
NA
2007
81views more  NA 2007»
14 years 11 months ago
Positive weight quadrature on the sphere and monotonicities of Jacobi polynomials
In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
Paul C. Leopardi