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Listar por palabra clave "Totally nonpositive matrix"

Mostrando ítems 1-5 de 5

Full rank factorization in quasi-LDU form of totally nonpositive rectangular matrices

Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Elsevier, 2014-01-01)

Let A = (a(ij)) is an element of R-nxm be a totally nonpositive matrix with rank(A) = r <= min{n, m} and a(11) = 0. In this paper we obtain a characterization in terms of the full rank factorization in quasi-LDU form, that ...
Jordan structures of irreducible totally nonnegative matrices with a prescribed sequence of the first p-indices

Cantó Colomina, Begoña; Cantó Colomina, Rafael; Urbano Salvador, Ana María (Springer-Verlag, 2022-03-19)

[EN] Let A be an nxn irreducible totally nonnegative matrix with rank r and principal rank p, that is, A is irreducible with all minors nonnegative, r is the size of the largest invertible square submatrix of A and p is ...
On the characterization of totally nonpositive matrices

Cantó Colomina, Rafael; Pelaez, María J.; Urbano Salvador, Ana María (Springer, 2016-12)

[EN] A nonpositive real matrix $A= (a_{ij})_{1 \leq i, j \leq n}$ is said to be totally nonpositive (negative) if all its minors are nonpositive (negative) and it is abbreviated as t.n.p. (t.n.). In this work a bidiagonal ...
On totally nonpositive matrices associated with a triple negatively realizable

Cantó Colomina, Begoña; Cantó Colomina, Rafael; Urbano Salvador, Ana María (Springer-Verlag, 2021-07)

[EN] Let A is an element of R-nxn be a totally nonpositive matrix (t.n.p.) with rank r and principal rank p, that is, every minor of A is nonpositive and p is the size of the largest invertible principal submatrix of A. ...
Quasi-LDU factorization of nonsingular totally nonpositive matrices

Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Elsevier, 2013-08-15)

Let A = (a(ij)) is an element of R-nxn be a nonsingular totally nonpositive matrix. In this paper we describe some properties of these matrices when a(11) = 0 and obtain a characterization in terms of the quasi-LDU ...