John Williamson
Scottish mathematician
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Mathematics
Why Is John Williamson Influential?
(Suggest an Edit or Addition)According to Wikipedia, John Williamson was a Scottish mathematician who worked in the fields of algebra, invariant theory, and linear algebra. Among other contributions, he is known for the Williamson construction of Hadamard matrices. Williamson graduated from the University of Edinburgh with first-class honours in 1922. Awarded a Commonwealth Fellowship in 1925, he studied at the University of Chicago under the direction of L. E. Dickson and E. H. Moore, receiving the Ph.D. in 1927. He held a Lectureship in Mathematics at the University of St Andrews and an Associate Professorship in Mathematics at Johns Hopkins University.
John Williamson 's Published Works
Published Works
- On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems (1936) (691)
- Hadamard’s determinant theorem and the sum of four squares (1944) (212)
- On the Normal Forms of Linear Canonical Transformations in Dynamics (1937) (80)
- Determinants whose Elements are 0 and 1 (1946) (56)
- The Exponential Representation of Canonical Matrices (1939) (34)
- Note on Hadamard's determinant theorem (1947) (25)
- The latent roots of a matrix of special type (1931) (24)
- An Algebraic Problem Involving the Involutory Integrals of Linear Dynamical Systems (1940) (23)
- The Equivalence of Non-Singular Pencils of Hermitian Matrices in an Arbitrary Field (1935) (22)
- Note on a principal axis transformation for non-hermitian matrices (1939) (19)
- Normal Matrices Over an Arbitrary Field of Characteristic Zero (1939) (14)
- Note on the equivalence of nonsingular pencils of Hermitian matrices (1945) (12)
- The Conjunctive Equivalence of Pencils of Hermitian and Anti-Hermitian Matrices (1937) (12)
- The Simultaneous Reduction of Two Matrices to Triangle Form (1935) (10)
- A polar representation of singular matrices (1935) (7)
- Matrices Normal with Respect to an Hermitian Matrix (1938) (6)
- Quasi-unitary matrices (1937) (6)
- On the Equivalence of Two Singular Matrix Pencils (1936) (3)
- The Product of a Circulant Matrix and a Special Diagonal Matrix (1932) (3)
- Sets of Semi-Commutative Matrices (1933) (2)
- XIV.—The Minimum System of Two Quadratic Forms in n Variables (2)
- Matrices whose $s$th compounds are equal (1933) (2)
- The Linear Complexes belonging to the Invariant System of Three Quadrics (1923) (2)
- On the functional representation of certain algebraic systems (1957) (1)
- Simultaneous Reduction of a Square Matrix and an Hermitian Matrix to Canonical Form (1939) (1)
- The Idempotent and Nilpotent Elements of a Matrix (1936) (1)
- A generalization of the polar representation of nonsingular matrices (1942) (1)
- Conditions for associativity of division algebras connected with non-abelian groups (0)
- Sets of Semi-Commutative Matrices: Part II (1933) (0)
- A Prepared System for Two Quadratics in Six Variables (1931) (0)
- A special prepared system for two quadratics in N variables (1930) (0)
- The Expansion of Determinants of Composite Order (1933) (0)
- The Exponential Representation of Automorphs of a Symmetric or Hermitian Matrix (1940) (0)
- A Prepared System for Two Quinary Quadratic Forms (1930) (0)
- II.—Further Invariant Theory of two Quadratics in n Variables. (1931) (0)
- The Irreducible Covariants belonging to the Concomitant System of Three Quadrics (1924) (0)
- Bazin's Matrix and other allied Matrices (1931) (0)
- The Covariants of Two Quadratic Forms in n Variables (1934) (0)
- XV.—The Invariant Theory of the Quaternary Quadratic Complex. II. The Complete System (0)
- On the determinant of an automorph of a nonsingular skew-symmetric matrix (1939) (0)
- Note on the Simultaneous System of Two Quadratic Quaternary Forms (1929) (0)
- The Complete System of Two Quaternary Quadratics (1929) (0)
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