AbstractThe trace takes bilinear forms over a separable field extension to certain bilinear forms over the base field. This paper shows how to compute the inverse of that process. The construction implies that two known ways of classifying rational symmetric matrices under orthogonal similarity are actually the same
AbstractIn this paper we describe the quadratic forms over any field k which admit a similarity with...
AbstractIn this paper we solve completely and explicitly the long-standing problem of classifying pa...
An algorithm to reduce a symmetric matrix to a similar semiseparable one of semiseparability rank 1,...
AbstractThe trace takes bilinear forms over a separable field extension to certain bilinear forms ov...
AbstractLet F be an algebraically closed field of characteristic different from 2. Define the orthog...
AbstractThis partly expository paper deals with a canonical-form problem for finite sets of matrices...
It is shown that the unitary similarity of two matrix algebras generated by pairs of orthoprojectors...
In this paper we describe an orthogonal similarity transformation for transforming arbitrary symmetr...
AbstractLet F be an algebraically closed field of characteristic different from 2. Define the orthog...
AbstractIn this paper the Hasse-Minkowski theorem is used over a number field to give necessary and ...
the dot product on Rn to a bilinear form on a vector space and study algebraic and geo-metric notion...
AbstractIt is shown that the matrix obtained by applying a matrix bilinear transformation to a compa...
Abstract approved Redacted for Privacy (Major professor) This thesis has four main results. First we...
AbstractThe fact that given complex n×n matrices A and B are (or are not) unitarily similar can be v...
AbstractTo study polynomials orthogonal with respect to the logarithmic equilibrium measure on the J...
AbstractIn this paper we describe the quadratic forms over any field k which admit a similarity with...
AbstractIn this paper we solve completely and explicitly the long-standing problem of classifying pa...
An algorithm to reduce a symmetric matrix to a similar semiseparable one of semiseparability rank 1,...
AbstractThe trace takes bilinear forms over a separable field extension to certain bilinear forms ov...
AbstractLet F be an algebraically closed field of characteristic different from 2. Define the orthog...
AbstractThis partly expository paper deals with a canonical-form problem for finite sets of matrices...
It is shown that the unitary similarity of two matrix algebras generated by pairs of orthoprojectors...
In this paper we describe an orthogonal similarity transformation for transforming arbitrary symmetr...
AbstractLet F be an algebraically closed field of characteristic different from 2. Define the orthog...
AbstractIn this paper the Hasse-Minkowski theorem is used over a number field to give necessary and ...
the dot product on Rn to a bilinear form on a vector space and study algebraic and geo-metric notion...
AbstractIt is shown that the matrix obtained by applying a matrix bilinear transformation to a compa...
Abstract approved Redacted for Privacy (Major professor) This thesis has four main results. First we...
AbstractThe fact that given complex n×n matrices A and B are (or are not) unitarily similar can be v...
AbstractTo study polynomials orthogonal with respect to the logarithmic equilibrium measure on the J...
AbstractIn this paper we describe the quadratic forms over any field k which admit a similarity with...
AbstractIn this paper we solve completely and explicitly the long-standing problem of classifying pa...
An algorithm to reduce a symmetric matrix to a similar semiseparable one of semiseparability rank 1,...
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