AbstractExplicit algebraic formulas for the polar decomposition of a nonsingular real 2×2 matrix A are given, as well as a classification of all integer 2×2 matrices that admit a rational polar decomposition. These formulas lead to a functional identity which is satisfied by all nonsingular real 2×2 matrices A as well as by exactly one type of exceptional matrix An for each n>2
AbstractInspired by the paper of Faßbender and Ikramov [H. Faßbender, Kh.D. Ikramov, A note on an un...
AbstractWe study the fields of values W(·) of a nonsingular 2 X 2 complex matrix A and of its polar ...
A nondepolarizing Mueller matrix can be written as a commutative product of a complex matrix Z and i...
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. Nume...
The thesis aims at addressing the polar decomposition of a real square matrix. This is the product o...
AbstractIt is known that if a matrix has a ϕJ polar decomposition, then it is of even rank. We provi...
.In the paper we review the numerical methods for computing the polar decomposition of a matrix. Num...
AbstractLet S∈Mn be nonsingular. We set ψS(A)=S-1A¯-1S for all nonsingular A∈Mn; a matrix A is calle...
AbstractLet L(λ) = Inλm + Am−1λm−1 + …+A1λ + A0 be an n × n monic matrix polynomial, and let CL be t...
AbstractMotivated by applications in the theory of unitary congruence, we introduce the factorizatio...
AbstractWe present new results on the ϕJ polar decomposition of matrices. We show that every symplec...
On condition numbers for the canonical generalized polar decompostion of real matrice
AbstractWe study the fields of values W(·) of a nonsingular 2 X 2 complex matrix A and of its polar ...
A new proof is obtained to the following fact: a Rickart C∗-algebra satisfies polar decomposition. E...
AbstractInspired by the paper of Faßbender and Ikramov [H. Faßbender, Kh.D. Ikramov, A note on an un...
AbstractWe study the fields of values W(·) of a nonsingular 2 X 2 complex matrix A and of its polar ...
A nondepolarizing Mueller matrix can be written as a commutative product of a complex matrix Z and i...
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. Nume...
The thesis aims at addressing the polar decomposition of a real square matrix. This is the product o...
AbstractIt is known that if a matrix has a ϕJ polar decomposition, then it is of even rank. We provi...
.In the paper we review the numerical methods for computing the polar decomposition of a matrix. Num...
AbstractLet S∈Mn be nonsingular. We set ψS(A)=S-1A¯-1S for all nonsingular A∈Mn; a matrix A is calle...
AbstractLet L(λ) = Inλm + Am−1λm−1 + …+A1λ + A0 be an n × n monic matrix polynomial, and let CL be t...
AbstractMotivated by applications in the theory of unitary congruence, we introduce the factorizatio...
AbstractWe present new results on the ϕJ polar decomposition of matrices. We show that every symplec...
On condition numbers for the canonical generalized polar decompostion of real matrice
AbstractWe study the fields of values W(·) of a nonsingular 2 X 2 complex matrix A and of its polar ...
A new proof is obtained to the following fact: a Rickart C∗-algebra satisfies polar decomposition. E...
AbstractInspired by the paper of Faßbender and Ikramov [H. Faßbender, Kh.D. Ikramov, A note on an un...
AbstractWe study the fields of values W(·) of a nonsingular 2 X 2 complex matrix A and of its polar ...
A nondepolarizing Mueller matrix can be written as a commutative product of a complex matrix Z and i...
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