# Revisiting Spherical Trigonometry with Orthogonal Projectors

@article{Banerjee2004RevisitingST, title={Revisiting Spherical Trigonometry with Orthogonal Projectors}, author={Sw. Banerjee}, journal={The College Mathematics Journal}, year={2004}, volume={35}, pages={375 - 381} }

Sudipto Banerjee (sudiptob@biostat.umn.edu) received his B.S. in Statistics from the University of Calcutta, India, an M.Stat. from the Indian Statistical Institute, Calcutta, and then his M.S. and Ph.D. from the University of Connecticut, Storrs. He is currently an Assistant Professor in the University of Minnesota, Minneapolis, where his research interests include spatial statistics and modelling. When not dabbling in mathematics, he enjoys dining out on exotic cuisine and spending time with…

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## References

SHOWING 1-6 OF 6 REFERENCES

Matrix Analysis and Applied Linear Algebra

- Mathematics
- 2000

The author presents Perron-Frobenius theory of nonnegative matrices Index, a theory of matrices that combines linear equations, vector spaces, and matrix algebra with insights into eigenvalues and Eigenvectors.

Matrix Algebra From a Statistician's Perspective

- Mathematics
- 1998

Preface. - Matrices. - Submatrices and partitioned matricies. - Linear dependence and independence. - Linear spaces: row and column spaces. - Trace of a (square) matrix. - Geometrical considerations.…

Quaternions and Rotation Sequences

- Mathematics
- 1998

In this paper we introduce and define the quaternion; we give a brief introduction to its properties and algebra, and we show, what appears to be, its primary application — the quaternion rotation…

A minimal, rotation-based FRLS lattice algorithm

- Computer ScienceIEEE Trans. Signal Process.
- 1997

An alternate Givens rotation-based least-squares lattice algorithm based on spherical trigonometry principles is proposed, which satisfies the backward consistency property and enjoys stable error propagation.

Linear Algebra, Geodesy, and GPS

- Philosophy
- 1997

Die Reihenfolge der drei im Titel genannten Themen gibt auch ihre Gewichtung wieder. Das Buch enthalt eine sehr anwendungsorientierte Einfuhrung in die lineare Algebra mit Hinblick auf…

Modern geometry with applications

- Mathematics
- 1994

Foreword.- Euclidean Geometry.- Spherical Geometry.- Conics.- Projective Geometry.- Special Relativity.- References.- Index.