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#### On Graphical Modeling of Preference and Comfort

(2017)

User's choices involve habitual behavior and genuine decisions. Habitual behavior is often represented using preferences. The conditional preference network (CP-net) is a graphical tool for representing and reasoning about ...

#### Discernibility in the Analysis of Binary Card Sort Data

(Springer, 2013-10-11)

In an open card sorting study of 356 facial photographs, each of 25 participants created an unconstrained number of piles. We consider all 63,190 possible pairs of photos: if both photos are in the same pile for a participant, ...

#### Orders of Torsion Units of integral reality-based algebras with rational multiplicities

(2018)

A reality-based algebra (RBA) is a finite-dimensional associative algebra with involution over C whose distinguished basis B contains 1 and is closed under pseudo-inverse. An integral RBA is one whose structure constants ...

#### Corrigendum to “The recognition problem for table algebras and reality-based algebras” [J. Algebra 479 (2017) 173–191]

(2019)

This note reports and corrects an error in the above article.

#### C.V.

(2014-01-21)

#### The principal rank characteristic sequence over various fields

(Elsevier, 2014)

Given an n-by-n matrix, its principal rank characteristic sequence is a sequence of
length n + 1 of 0s and 1s where, for k = 0; 1,..., n, a 1 in the kth position indicates
the existence of a principal submatrix of rank ...

#### Solving a structured quadratic eigenvalue problem by a structure-preserving doubling algorithm

(SIAM, 2010)

In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) $(\lambda^2 A^T + \lambda Q + A)z = 0$, where $A, Q \in \mathbb{C}^{n \times n}$ and $Q^T = Q$. Moreover, the matrix ...

#### Monotone convergence of Newton-like methods for M-matrix algebraic Riccati equations

(Springer, 2013)

For the algebraic Riccati equation whose four coefficient matrices form a nonsingular $M$-matrix or an irreducible singular $M$-matrix $K$, the minimal nonnegative solution can be found by Newton's method and the doubling ...

#### Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research

(Elsevier, 2012)

The Green's function approach for treating quantum transport in nano devices requires the solution of nonlinear matrix equations of the form
$X+(C^*+{\rm i} \eta D^*)X^{-1}(C+{\rm i} \eta D)=R+{\rm i}\eta P$, where $R$ ...

#### Performance enhancement of doubling algorithms for a class of complex nonsymmetric algebraic Riccati equations

(Oxford University Press, 2014)

A new class of complex nonsymmetric algebraic Riccati equations has been studied by Liu and Xue (SIAM J. Matrix Anal. Appl., 33 (2012), 569-596), which is related to the M-matrix algebraic Riccati equations. Doubling ...