Vera Nikolaevna Kublanovskaya (née Totubalina; November 21, 1920 – February 21, 2012 [1]) was a Russianmathematician noted for her work on developing computational methods for solving spectral problems of algebra. She proposed the QR algorithm for computing eigenvalues and eigenvectors in 1961, which has been named as one of the ten most important algorithms of the twentieth century.[2] This algorithm was proposed independently by the English computer scientist John G.F. Francis in 1961.
Kublanovskaya started her tertiary education in 1939 at the Gertzen Pedagogical Institute in Leningrad.[4] There, she was encouraged to pursue a career in mathematics. She moved on to study mathematics at Leningrad State University in 1945 and graduated in 1948. Following her graduation, she joined the Leningrad Branch of the Steklov Mathematical Institute of the USSR Academy of Sciences. She remained there for 64 years of her life.
In 1955, she got her first doctorate degree on the application of analytic continuation to numeric methods. In 1972 she obtained a secondary doctorate on the use of orthogonal transformations to solve algebraic problems.
In October 1985, she was awarded an honorary doctorate at Umeå University, Sweden, with which she has collaborated.[4]
Scientific works
During her first PhD, she joined Leonid Kantorovich's group that was working on developing a universal computer language in the USSR. Her task was to select and classify matrix operations that are useful in numerical linear algebra.
Her subsequent works have been foundational in furthering mathematical research and software development. She is mentioned in the Book of Proofs.[5]
Publications
On some algorithms for the solution of the complete eigenvalue problem [6]
On a method of solving the complete eigenvalue problem for a degenerate matrix [7]
Methods and algorithms of solving spectral problems for polynomial and rational matrices [8]
To solving problems of algebra for two-parameter matrices. V [9]
To solving problems of algebra for two-parameter matrices. IX [10]
^Kublanovskaya, V. N. (1962-01-01). "On some algorithms for the solution of the complete eigenvalue problem". USSR Computational Mathematics and Mathematical Physics. 1 (3): 637–657. doi:10.1016/0041-5553(63)90168-X. ISSN0041-5553.
^Kublanovskaya, V. N. (1966-01-01). "On a method of solving the complete eigenvalue problem for a degenerate matrix". USSR Computational Mathematics and Mathematical Physics. 6 (4): 1–14. doi:10.1016/0041-5553(66)90001-2. ISSN0041-5553.
^Kublanovskaya, V. N. (1999-09-01). "Methods and algorithms of solving spectral problems for polynomial and rational matrices". Journal of Mathematical Sciences. 96 (3): 3085–3287. doi:10.1007/BF02168360. ISSN1573-8795. S2CID120403984.
Golub, Gene H.; Uhlig, Frank (2009), "The QR algorithm: 50 years later – its genesis by John Francis and Vera Kublanovskaya, and subsequent developments", IMA Journal of Numerical Analysis, 29 (3): 467–485, doi:10.1093/imanum/drp012, ISSN0272-4979.
Kon'kova, Ya.; Simonova, V.N.; Khazanov, V.B. (2000), "Vera Nikolaevna Kublanovskaya. Short Biography", Journal of Mathematical Sciences, 114 (6): 1755–56, doi:10.1023/A:1022491200674, S2CID118551402.
