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2010
114views more  NA 2010»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 8 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