Bidiagonal matrix

In mathematics, a bidiagonal matrix is a matrix with non-zero entries along the main diagonal and either the diagonal above or the diagonal below… (More)
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Papers overview

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2014
2014
We show how both the tridiagonal and bidiagonal QR algorithms can be restructured so that they become rich in operations that can… (More)
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Highly Cited
2013
Highly Cited
2013
A numerically stable and fairly fast scheme is described to compute the unitary matrices U and V which transform a given matrix A… (More)
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2010
2010
The objective of this paper is to extend, in the context of multicore architectures, the concepts of tile algorithms [Buttari et… (More)
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2006
2006
We describe the design and implementation of a new algorithm for computing the singular value decomposition of a real bidiagonal… (More)
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2005
2005
Abstract. Let T = LΩLt be an invertible, unreduced, indefinite tridiagonal symmetric matrix with Ω a diagonal signature matrix… (More)
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2000
2000
There has been much recent interest, initiated by work of the physicists Hatano and Nelson, in the eigenvalues of certain random… (More)
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Highly Cited
1995
Highly Cited
1995
Abstract. The authors present a stable and efficient divide-and-conquer algorithm for computing the singular value decomposition… (More)
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Review
1994
Review
1994
In this paper, a review of methods for the solution of general bidiagonal systems of equations is done. Gaussian Elimination, the… (More)
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1991
1991
We consider computing the singular value decomposition of a bidiagonal matrix B. This problem arises in the singular value… (More)
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Highly Cited
1990
Highly Cited
1990
C Abstract om puting the singular valu es of a bidiagonal m atrix is the fin al phase of the stan dard algo-w rithm for the… (More)
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