Displaying similar documents to “Effective algebraic geometry and normal forms of reversible mappings.”

Semi-algebraic complexity-additive complexity of diagonalization of quadratic forms.

Thomas Lickteig, Klaus Meer (1997)

Revista Matemática de la Universidad Complutense de Madrid

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We study matrix calculations such as diagonalization of quadratic forms under the aspect of additive complexity and relate these complexities to the complexity of matrix multiplication. While in Bürgisser et al. (1991) for multiplicative complexity the customary thick path existence argument was sufficient, here for additive complexity we need the more delicate finess of the real spectrum (cf. Bochnak et al. (1987), Becker (1986), Knebusch and Scheiderer (1989)) to obtain a complexity...

Stationary vector subdivision: quotient ideals, differences and approximation power.

Thomas Sauer (2002)

RACSAM

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The paper considers stationary vector subdivision schemes, that is, subdivision schemes acting on vector valued sequences by using a matrix valued mask, and derives the analog of the well-known "zero condition" for an arbitrary number of variables as well as arbitrary expanding dilation matrices.

Inverse problems in the theory of analytic planar vector fields.

Natalia Sadovskaia, Rafael O. Ramírez (1998)

Revista Matemática Iberoamericana

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In this communication we state and analyze the new inverse problems in the theory of differential equations related to the construction of an analytic planar verctor field from a given, finite number of solutions, trajectories or partial integrals. Likewise, we study the problem of determining a stationary complex analytic vector field Γ from a given, finite subset of terms in the formal power series (...).