Patterns of commutativity: the commutant of the full pattern.
Patterns with several multiple eigenvalues
Identified are certain special periodic diagonal matrices that have a predictable number of paired eigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5 eigenvalues are also investigated further. This work generalizes earlier work on response matrices from circularly symmetric models.
p-dimensionale Vektoren modulo p. I. Zyklische Theorie.
Pencils of real symmetric matrices and the numerical range.
Pentadiagonal Companion Matrices
The class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally similar to a pentadiagonal matrix and describe how to find the permutation involved. In the process, we determine which of the Fiedler companion matrices are permutationally similar to a pentadiagonal matrix. We also describe how to find a Fiedler...
Perfect sampling from the limit of deterministic products of stochastic matrices.
Perimeter preserver of matrices over semifields
For a rank- matrix , we define the perimeter of as the number of nonzero entries in both and . We characterize the linear operators which preserve the rank and perimeter of rank- matrices over semifields. That is, a linear operator preserves the rank and perimeter of rank- matrices over semifields if and only if it has the form , or with some invertible matrices U and V.
Perimeter preservers of nonnegative integer matrices
We investigate the perimeter of nonnegative integer matrices. We also characterize the linear operators which preserve the rank and perimeter of nonnegative integer matrices. That is, a linear operator preserves the rank and perimeter of rank- matrices if and only if it has the form , or with appropriate permutation matrices and and positive integer matrix , where denotes Hadamard product.
Periodic coprime matrix fraction decompositions.
Periodicity in quasipolynomial convolution.
Periodické distribuce a diskrétní Fourierova transformace
Permanental associated matrices and Schneider's theorem.
Permanents – a concise survey. (Permanenten – Ein kurzer Überblick.)
Permanents of Hessenberg -matrices revisited.
Permanents of Hessenberg (0,1)-matrices.
Permanents, Pfaffian orientations, and even directed circuits.
Permutation matrices and matrix equivalence over a finite field.
Permutations without long decreasing subsequences and random matrices.
Perron complements of diagonally dominant matrices and H-matrices.
Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators
We study several aspects of a generalized Perron-Frobenius and Krein-Rutman theorems concerning spectral properties of a (possibly unbounded) linear operator on a cone in a Banach space. The operator is subject to the so-called tangency or weak range assumptions implying the resolvent invariance of the cone. The further assumptions rely on relations between the spectral and essential spectral bounds of the operator. In general we do not assume that the cone induces the Banach lattice structure into...