Decomposition of an updated correlation matrix via hyperbolic transformations

Drahoslava Janovská

Applications of Mathematics (2002)

  • Volume: 47, Issue: 2, page 101-113
  • ISSN: 0862-7940

Abstract

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An algorithm for hyperbolic singular value decomposition of a given complex matrix based on hyperbolic Householder and Givens transformation matrices is described in detail. The main application of this algorithm is the decomposition of an updated correlation matrix.

How to cite

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Janovská, Drahoslava. "Decomposition of an updated correlation matrix via hyperbolic transformations." Applications of Mathematics 47.2 (2002): 101-113. <http://eudml.org/doc/33106>.

@article{Janovská2002,
abstract = {An algorithm for hyperbolic singular value decomposition of a given complex matrix based on hyperbolic Householder and Givens transformation matrices is described in detail. The main application of this algorithm is the decomposition of an updated correlation matrix.},
author = {Janovská, Drahoslava},
journal = {Applications of Mathematics},
keywords = {eigensystem of a correlation matrix; hyperbolic transformations; hyperbolic Householder transformation; hyperbolic Givens transformation; hyperbolic singular value decomposition; eigensystem of correlation matrix; hyperbolic transformations; hyperbolic Householder transformation; hyperbolic Gidens transformation; hyperbolic singular value decomposition},
language = {eng},
number = {2},
pages = {101-113},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Decomposition of an updated correlation matrix via hyperbolic transformations},
url = {http://eudml.org/doc/33106},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Janovská, Drahoslava
TI - Decomposition of an updated correlation matrix via hyperbolic transformations
JO - Applications of Mathematics
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 2
SP - 101
EP - 113
AB - An algorithm for hyperbolic singular value decomposition of a given complex matrix based on hyperbolic Householder and Givens transformation matrices is described in detail. The main application of this algorithm is the decomposition of an updated correlation matrix.
LA - eng
KW - eigensystem of a correlation matrix; hyperbolic transformations; hyperbolic Householder transformation; hyperbolic Givens transformation; hyperbolic singular value decomposition; eigensystem of correlation matrix; hyperbolic transformations; hyperbolic Householder transformation; hyperbolic Gidens transformation; hyperbolic singular value decomposition
UR - http://eudml.org/doc/33106
ER -

References

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  2. 10.1080/01621459.1971.10482338, J. Amer. Statist. Assoc. 66 (1971), 744–748. (1971) DOI10.1080/01621459.1971.10482338
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  5. 10.1002/1099-1506(200103)8:2<127::AID-NLA227>3.0.CO;2-#, Numer. Linear Algebra Appl. 8 (2001), 127–146. (2001) MR1812029DOI10.1002/1099-1506(200103)8:2<127::AID-NLA227>3.0.CO;2-#
  6. Algorithms of hyperbolic transformations, In: Proceedings of PANM 10, Lázně Libverda 2000, Math. Inst. Acad. Sci., Prague, 2000, pp. 54–66. (Czech) (2000) 
  7. A note on the hyperbolic singular value decomposition, Linear Algebra Appl. 277 (1998), 135–142. (1998) Zbl0933.15016MR1624524
  8. 10.1109/78.134396, IEEE Trans. Signal Processing 39 (1991), 1575–1588. (1991) DOI10.1109/78.134396
  9. Handbook for Automatic Computation, Linear Algebra, Springer, New York, 1971. (1971) MR0461856

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