AbstractIt is known that if a matrix has a ϕJ polar decomposition, then it is of even rank. We provide necessary and sufficient conditions for a 2n-by-2n matrix of rank2 to have a ϕJ polar decomposition
AbstractSeveral classes of polar decompositions of real and complex matrices with respect to a given...
The polar decomposition of an $m x n$ matrix $A$ of full rank, where $m \geq n$, can be computed us...
AbstractThe sign function of a square matrix was introduced by Roberts in 1971. We show that it is u...
AbstractWe present new results on the ϕJ polar decomposition of matrices. We show that every symplec...
In the paper we review the numerical methods for computing the polar decomposition of a matrix. Nume...
AbstractExplicit algebraic formulas for the polar decomposition of a nonsingular real 2×2 matrix A a...
.In the paper we review the numerical methods for computing the polar decomposition of a matrix. Num...
A quadratically convergent Newton method for computing the polar decomposition of a full-rank matrix...
We introduce a backward stable algorithm for computing the CS decomposition of a partitioned $2n \ti...
The thesis aims at addressing the polar decomposition of a real square matrix. This is the product o...
Abstract. It is shown that an acceleration parameter derived from the Frobenius norm makes Newton’s ...
Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative pol...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...
Let S ∈ Mn(C) be nonsingular such that S−T S is normal (that is, the cosquare of S is normal). Set φ...
AbstractSeveral classes of polar decompositions of real and complex matrices with respect to a given...
The polar decomposition of an $m x n$ matrix $A$ of full rank, where $m \geq n$, can be computed us...
AbstractThe sign function of a square matrix was introduced by Roberts in 1971. We show that it is u...
AbstractWe present new results on the ϕJ polar decomposition of matrices. We show that every symplec...
In the paper we review the numerical methods for computing the polar decomposition of a matrix. Nume...
AbstractExplicit algebraic formulas for the polar decomposition of a nonsingular real 2×2 matrix A a...
.In the paper we review the numerical methods for computing the polar decomposition of a matrix. Num...
A quadratically convergent Newton method for computing the polar decomposition of a full-rank matrix...
We introduce a backward stable algorithm for computing the CS decomposition of a partitioned $2n \ti...
The thesis aims at addressing the polar decomposition of a real square matrix. This is the product o...
Abstract. It is shown that an acceleration parameter derived from the Frobenius norm makes Newton’s ...
Some new perturbation bounds for both weighted unitary polar factors and generalized nonnegative pol...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...
Let S ∈ Mn(C) be nonsingular such that S−T S is normal (that is, the cosquare of S is normal). Set φ...
AbstractSeveral classes of polar decompositions of real and complex matrices with respect to a given...
The polar decomposition of an $m x n$ matrix $A$ of full rank, where $m \geq n$, can be computed us...
AbstractThe sign function of a square matrix was introduced by Roberts in 1971. We show that it is u...
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