Publications: MIC

1991

Bernd Fischer, Gerhard Opfer, and Madan L. Puri,
A Local Algorithm for Constructing Non-Negative Cubic Splines, J. Approx. Theory , vol. 64, pp. 1-16, 1991.

Bibtex:

@article{1991-JAT-FOP,
	Author = {Fischer, Bernd and Opfer, Gerhard and Puri, Madan L.},
	Journal = {J. Approx. Theory},
	Pages = {1-16},
	Title = {A Local Algorithm for Constructing Non-Negative Cubic Splines},
	Volume = {64},
	Year = {1991}
}

Bernd Fischer, and Roland Freund,
{C}hebyshev Polynomials are not always Optimal, J. Approx. Theory , vol. 65, pp. 261--273, 1991.

File:

1991-JAT-FR.pdf

Bibtex:

@article{1991-JAT-FR,
	Author = {Fischer, Bernd and Freund, Roland},
	Journal = {J. Approx. Theory},
	Pages = {261--273},
	Title = {{C}hebyshev Polynomials are not always Optimal},
	Volume = {65},
	Year = {1991}
}

Bernd Fischer, and Gene Golub,
On Generating Polynomials which are Orthogonal over Several Intervals, Math. Comp. , vol. 56, pp. 711--730, 1991.

Bibtex:

@article{1991-MC-FG,
	Author = {Fischer, Bernd and Golub, Gene},
	Journal = {Math. Comp.},
	Pages = {711--730},
	Title = {On Generating Polynomials which are Orthogonal over Several Intervals},
	Volume = {56},
	Year = {1991}
}

Bernd Fischer, and Roland Freund,
New {B}ernstein Type Inequalities for Polynomials on Ellipses, Complex Variables , vol. 16, pp. 289--305, 1991.

Bibtex:

@article{1991-CV-FF,
	Author = {Fischer, Bernd and Freund, Roland},
	Journal = {Complex Variables},
	Pages = {289--305},
	Title = {New {B}ernstein Type Inequalities for Polynomials on Ellipses},
	Volume = {16},
	Year = {1991}
}

1990

Bernd Fischer, and Roland Freund,
On the Constrained {C}hebyshev Approximation Problem on Ellipses, J. Approx. Theory , vol. 62, pp. 297-315, 1990.

Bibtex:

@article{1990-JAT-FF,
	Author = {Fischer, Bernd and Freund, Roland},
	Journal = {J. Approx. Theory},
	Pages = {297-315},
	Title = {On the Constrained {C}hebyshev Approximation Problem on Ellipses},
	Volume = {62},
	Year = {1990}}

Jan Modersitzki,
Der Algorithmus von Tang zur {Lösung linearer komplexer Approximationsaufgaben in der Tschebyscheff-Norm, Diploma Thesis, Institute of Applied Mathematics, University of Hamburg, 1990.

Bibtex:

@MASTERSTHESIS{1990-MT-M,
  author = {Modersitzki, Jan},
  title = {Der {A}lgorithmus von {T}ang zur {L}\"osung linearer
           komplexer {A}pproximationsaufgaben
    in der {T}schebyscheff - {N}orm},
  school = {Institute of Applied Mathematics},
  year = {1990},
  type = {Diploma Thesis},
  address = {University of Hamburg},
  note = {(In German)},
}

1989

Bernd Fischer, and Lothar Reichel,
Newton Interpolation in Fejer and Chebyshev Points, Math. Comp. , vol. 53, pp. 265-279, 1989.

Bibtex:

@article{1989-MC-FR,
	Author = {Fischer, Bernd and Reichel, Lothar},
	Journal = {Math. Comp.},
	Pages = {265-279},
	Title = {Newton Interpolation in {F}ejer and {C}hebyshev Points},
	Volume = {53},
	Year = {1989}
}

Bernd Fischer, and Gene Golub,
Optimal {C}hebyshev Polynomials on Ellipses in the Complex Plane, in J. Approximation Theory VI , C.K. Chui and L.L. Schumaker and J.D. Ward, Eds. Academic, 1989. pp. 251-255.

File:

1989-JAT-FR.pdf

Bibtex:

@conference{1989-JAT-FG,
	Author = {Fischer, Bernd and Golub, Gene},
	Booktitle = {J. Approximation Theory VI},
	Editor = {C.K. Chui and L.L. Schumaker and J.D. Ward},
	Pages = {251-255},
	Publisher = {Academic},
	Title = {Optimal {C}hebyshev Polynomials on Ellipses in the Complex Plane},
	Year = {1989}
}

1988

Bernd Fischer, and Lothar Reichel,
A stable Richardson Iteration Method for Complex Linear Systems, Numer. Math. , vol. 54, pp. 225--242, 1988.

Bibtex:

@article{1988-NM-FR,
	Author = {Fischer, Bernd and Reichel, Lothar},
	Journal = {Numer. Math.},
	Pages = {225--242},
	Title = {A stable {R}ichardson Iteration Method for Complex Linear Systems},
	Volume = {54},
	Year = {1988}
}

0

Ole Gildemeister, Jan Lellmann, and Florian Mannel,
An l-BFGS basedTikhonov-regularised interior-point method in large-scale nonlinear inequality-constrained convex optimisation,

Bibtex:

@article{gildemeisterbfgs,
  title={An l-BFGS basedTikhonov-regularised interior-point method in large-scale nonlinear inequality-constrained convex optimisation},
  author={Gildemeister, Ole and Lellmann, Jan and Mannel, Florian}
}