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Ostrowski, Alexander

A new proof of Haynsworth’s quotient formula for Schur complements. (English) Zbl 0224.15003

Linear Algebra Appl. 4, 389-392 (1971).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 16 Documents

MSC:

15A06 Linear equations (linear algebraic aspects)
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References:

[1] Crabtree, D. E.; Haynsworth, E. V., An identity for the Schur complement of a matrix, Proc. Amer. Math. Soc., 22, 364-366 (1969) · Zbl 0186.34003
[2] Haynsworth, Emilie V., On the Schur complement, Basel Mathematical Notes, 20 (June 1968)
[3] Haynsworth, Emilie V., Application of an inequality for the Schur complement, Proc. Amer. Math. Soc., 24, 512-516 (1970) · Zbl 0198.05202
[4] Haynsworth, Emilie V., Reduction of a matrix using properties of the Schur complement, (Linear Algebra and Appl., 3 (1970), Department of Mathematics, State University of New York: Department of Mathematics, State University of New York Buffalo), 23-29 · Zbl 0198.05203
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